Home
Aplusclick Geometry Questions
Which gives the largest answer?
Which animal is to the left of the wooden bucket?
Which figure is the same shape as the clock?
Which shape is in the middle?
How many circles have two parts?
Select the smallest shape:
Which arrow points to the right?
How many rings are there?
Click on the fruit that is the smallest.
Please find the shape with five sides.
Which ring is in the middle?
Which shape has the largest number of angles?
How many squares are there?
Which bead is in the middle between two violet beads?
Find the shape that is between a red heart and a blue square.
How many squares are in the drawing?
Which squares are the same size?
Which square is the largest?
How many cubes are there?
What color is the smallest button?
Which arrow points to the left?
The green arrow points to the . . .
Find the letter on the card that is the closest to you.
How many different parts are there?
What is the smallest number?
Which drawing shows the largest number of blue squares?
How many rings are there?
How many colored cards are there?
Which letter is in the middle of the row?
How many different colors are there in the picture?
Which number is in a circle?
Which number is in the middle?
Which shape has a fewer number of sides?
Which shape has more sides?
Which shape has four sides?
Which figure is the same shape as the pizza?
Which shape is the smallest?
How many matchsticks form a square?
Which number is in a triangle?
What two shapes share the shortest border?
Which shape is between two triangles?
Which shape is the largest?
How many open rings are there in the picture?
How many sides do a square and a triangle have?
How many sides does a honey cell have?
I chose one figure in the picture. The figure is green and not a circle or . . .
Find the shape with the smallest area
Which gives the same number as the number of blue squares?
Which gives the smallest answer?
Which shape is at the bottom?
Which shape is at the left?
Which shape is at the right?
How many circles have three colored parts?
Which arrow points to the top?
What is the shape of the flag?
What shape is the largest?
How many sides does this shape have?
Please find the shape with six sides.
Who is the shortest person?
Which ring is to the right of the yellow ring?
Which shape has the smallest number of sides?
How many circles are in the drawing?
How many cubes are there?
Which triangle is the closest to the red line?
Which arrow points to the top?
Which arrow points to the right?
The yellow arrow points to the . . .
Which drawing shows the smallest number of red squares?
What color is the third largest ring?
How many cubes are there?
What is the shape of the square in the Vatican City?
Which coin is the smallest?
How many sides does the red shape have?
How many faces do these two shapes have?
There are more . . .
How many circles contain green?
How many cubes should you add to make a tower of 8 cubes?
How many colored pieces of paper are there?
Which brick is in the middle?
What is the smallest part of the circle?
Using each shape only once, how many of these shapes together form a circle?
How many such shapes are needed to form a circle?
Which shape can you form from 3 sticks?
Which shape has five sides?
Which shape has 3 sides?
Which shape do the radishes form?
How many triangles are there in the picture?
Square pieces of paper overlap. How many pieces of paper are there?
How many faces does the stone have?
How many circles are there?
How many sides does the shape have?
How many circles can I cut off the dough sheet?
How many different colors are there in the square?
How many angles does the shape have?
How many red lines are there?
Please find the shape with four sides.
Which is the longest?
How many triangles are there?
How many vertices does this shape have?
How many line segments are there?
Select an object that has the same shape and size as this one:
Turn the figure upside down.
Which shape has the most vertices?
There are 3 triangles and 1 square. How many sides are there?
Which shape has the most sides?
How many sides does this shape have?
Which gives the largest answer?
How many sides does this shape have?
Find a triangle.
Which of the following shapes can be made of these three triangles?
About how many paper clips would be needed to go around this shape?
Find the shape that shows two equal parts.
Which two shapes do not form a ring?
The blocks of ice are of the same height and depth. Find the picture of the . . .
Who is the tallest person?
Which bead is between two blue beads and closer to the bottom blue bead?
How many small circles are outside the square?
How many arrows are there?
Which shape is in the middle of the picture?
I chose one of the figures on the right. The figure I chose was blue. The . . .
How many line segments are there?
What two shapes share the shortest border?
Which square is the smallest?
How many sides does the red cross have?
Which cross is the smallest?
Which circle is the closest to the red line?
Eugenia discovered round ink spots on her music paper. Which music paper has . . .
What number is between numbers 2 and 7 in the picture?
Which ball is the farthest from the center of the triangle?
Which shape has five sides?
What is the shape of the pavement stone?
I strike a pool ball. The picture shows the trajectory of the ball. How . . .
Which card is between two red shapes?
What color is the second largest ring?
How many trees are in a line between two other trees?
How many sides do these shapes have?
Which shape is the closest to you?
How many sides does the shape have?
How many cubes are there?
What two shapes share the longest border?
Which color is the fourth circle in the third column?
Which shape is the largest?
Please find the shape with the smallest number of sides.
Which is the shortest?
How many vertices does the shape have?
How many vertices does the shape have?
How many sides does the shape have?
What shape is the smallest?
Turn the figure upside down.
How many sides does this shape have?
Which gives the smallest answer?
Which of the following shapes has 5 sides?
Which part of the shape is the smallest?
How many circles have three colored parts?
Which figure has the largest number of sides?
How many vertexes does a brick have? A vertex is a point where edges meet, a . . .
Which shape is the smallest?
Find the flag with a largest white area.
Find the set that is less heavy.
I chose one of the figures on the right. The figure I chose was red. The . . .
Find the shape that is between two circles.
What number is between numbers 4 and 6 in the picture?
Which part is the largest?
How many intersection points are there in the picture?
Find a picture where the red line is the line of symmetry.
Which of the shapes should be placed on top of the shape A to make a rectangle?
Which shapes together form a circle?
How many such shapes are needed to form a circle?
How many cards are there in the picture?
The star is inside how many circles?
How many triangles are there?
How many red triangles are there in the picture?
What is the shape of the carpet when it is rolled out?
What part is the smallest?
Which is the longest?
Which line segment is the longest?
Flip the phrase over the dotted line
Which part of the shape is the biggest?
The shape has seven corners. Divide it into triangles. Find the minimal . . .
The tower is made up of three horizontal layers of cubes with no gaps. How . . .
Which set has shapes with the same number of corners?
Which two figures are faces of the block of wood?
Which figure could be one face of the box?
How many circles have two colored parts?
Which figure has more sides than corners?
Which shape has more vertices? A vertex is a point where two lines or sides . . .
How many faces does a brick have?
What is the difference between the largest and the smallest height?
Look at the shape on the right. Which shape below is the closest in size to . . .
Find the flag with a bigger red area.
How many straight segments does the paper clip have?
In which figure are half of the cells shaded?
Which two shapes do not seem to fit?
I turned letter G around a center. It no longer reads the same. How many . . .
Which of these shapes has the largest area?
How many of the B-labeled pieces are needed to cover the piece labeled R?
What two shapes share the longest border?
Which shapes have the same area?
Which triangle is the closest to the green line?
Which way is the shortest?
How many cubes are there in the rectangular prism?
How many small cubes are visible in the picture?
Which shape has the largest number of sides?
Which shape contains the largest number of straight lines?
Which ball is the farthest from the center of the triangle?
How many squares are there in the picture?
Fifteen billiard balls of the same size fit into a triangular rack. Which . . .
If I cut the cardboard along the dashed lines, how many different shapes will I . . .
I saw a car's license plate in the rear-view mirror of my car. The picture . . .
Which spring has the largest number of coils?
How many times higher than the tree is the rainbow?
Find the shadow of the picture.
Which of these shapes has seven sides?
How many of the shapes have at least one right angle?
How many cubes are there?
Which card is at the bottom of the pile?
Which two shapes do not intersect?
How many shapes are completely below the red line?
Which shape has the same area as the blue square?
The middle of the ruler is
Which line segment is the shortest?
The tower is made up of three horizontal layers of cubes with no gaps. How . . .
Which set has the smallest number of corners?
Which two figures have the largest combined area?
Which shape has the smallest area?
How many circles are colored in one color?
Which shape has no right angles?
What is the difference in height between Bill and Anna? Cindy is the tallest . . .
In which figure are two thirds of the cells shaded?
In which figure is a third of the cells shaded?
Please find a shape with only one line of symmetry.
What is the perimeter of the shape?
Which of these shapes gives the largest area?
Which line does not divide the shape into two parts of the same area?
Which two shapes could be placed together to form a square?
Which shape has more sides than the others?
Mrs. Johnson has a large piece of land (pictured here). She divided the land . . .
The diagram shows four sets of different geometric shapes. Which set has more . . .
Which of these shapes has 12 sides?
Which green line segment is the longest?
Which of the following would complete the figure so that it becomes a . . .
A sculptor cut a corner of a cube. How many edges does the new shape have?
How many sides do 3 squares and 4 triangles have?
How many more triangles than squares are there in the picture?
Which shape has the least number of lines of symmetry?
How many small circles are inside the square?
I chose one of the figures on the right. The figure I chose was blue. The . . .
I chose one of the figures on the right. The figure I chose was red. The . . .
Which road is the shortest?
What part has the smallest area?
If you move along the line, in what order do you meet the letters?
In the corners of what shape are the trees planted?
If I cut the piece of cheese along the red lines, how many pieces do I make?
Choose a circle that is composed of three equal parts.
What type of triangle is this?
How many beads can Jane add to the bracelet?
How many triangles are there in the picture?
How many cubes are there in my design?
What is the height of the pyramid?
Find the two that are the same. Find the twins.
What part is the largest?
How many red lines are there?
Please find a shape with no lines of symmetry.
Select the shape that is congruent to this one.
What is the area?
What is the volume of this object?
Which of these shapes gives the smallest area?
Which shape appears most often in the figure?
Which shape shows a correct line of symmetry?
Which two shapes could be placed together to form the rectangle?
How big is angle X?
Kevin tried to make shapes with six sides. Which shape is not correct?
Anna was making a border across her notebook paper. She used one shape and . . .
Mrs. Johnson has a large piece of land (pictured here). She divided the land . . .
Which of these are regular shapes?
The diagram shows four sets of different geometric shapes. Which two sets have . . .
Which figure is made of exactly one square and two triangles?
Which of these shapes has the same number of sides as the star?
Which green line segment is the shortest?
Which of the following would complete the figure so that it has a horizontal . . .
In Australia, the usual size of a modern brick is 23 cm x 11 cm (length x . . .
How many of the letters in the Russian alphabet have more than one line of . . .
What is the greatest number of possible points of intersection of a circle and . . .
Which point on the ruler best represents 287 millimeters? ( The numbers on . . .
The figure shows a brick. Which of these is the largest?
What is the fraction of boards painted in red?
How many pieces do you form with 6 cuts of a pizza? All cuts go through the . . .
A sculptor cut a corner of a cube. How many faces does the new shape have?
What is this weight to the nearest 1kg?
How many vertexes do 3 squares and 4 triangles have?
How many squares are there?
Choose the bolt head design that can be easily turned with the household wrench.
I use different colors for areas that share a common line segment. What is . . .
Estimate the area of the colored figure.
Which shape has the most lines of symmetry?
Which shape has the smallest perimeter?
What two shapes share the longest border?
Which two rectangles fit together, without overlapping, to make a square?
Which shape is colored more than half in green?
How many small cubes are there?
Which figure has no sides the same length?
Which shape has the largest area?
Look at the tile on the right. Which diagram below shows the tile after it . . .
What is the largest number of arrows pointing in the same direction?
Find the set with the largest number of cubes.
How many faces does the shape have?
How many wooden matches are there in the picture?
Which figure is divided into 4 congruent shapes? Two figures are congruent if . . .
Fifteen billiard balls of the same size fit into a triangular rack. How . . .
Which numbers are inside the square and inside the circle but not inside the . . .
How many more cubes does shape A have than shape B?
The street blocks on State Street have the same length. Which distance is . . .
Which shape has the largest area?
Which line segment is the smallest?
How many squares are there in the picture?
How far from the middle of the ruler is the position of the arrow? (The . . .
How many yellow tiles will fit into the gray shape without overlapping?
How many squares of any size are there in the picture?
Which flag has the largest number of axes of symmetry?
Find X.
Which pair of two shapes has the smallest intersection area?
Select the triangle that has no right angle.
What is the volume of this object?
Which shape mentioned below appears less in the figure?
Which of these are not regular shapes?
Which shape has a right angle?
Which of these shapes has the largest internal angle?
In Australia, the usual size of a modern brick is 23 cm x 11 cm (length x . . .
What is the greatest number of possible points of intersection of a circle and . . .
Which point on the ruler best represents 278 millimeters? [ The numbers on . . .
The figure shows a brick. Which of these is the smallest number?
How many pieces do you form with five cuts of a pizza? All cuts go through . . .
A sculptor cut a corner of a cube. How many vertexes does the new shape have?
How many sides does the shape have?
Which shape has the largest number of sides?
Which measure is the closest to the arrow? [The numbers on the scale are . . .
Which of these 3-D shapes has the most vertexes?
Which shape has a smaller area?
How many squares are there?
Choose the design with the smallest area.
Which of these shapes is in the right top corner?
What two shapes share the longest border?
Which shape has the largest area?
What is the total area of the shapes?
Which shape has a half colored in green?
The picture shows a solid cube. How many small cubes are used?
What shape has the smallest area?
How many 1x1x1 cubes can fit in the box?
How many parallel lines are there in the picture?
About how long is this string?
The picture shows a subway map. Which line has more stations?
How many balls are there in the pyramid?
How many balls are there in the bottom layer of the pyramid?
Which set of bricks is less heavier?
How many sides does the fountain have?
For which shape did I use more wood?
Which line divides the circle into two equal parts?
Four squares of colored paper of the same size have been placed on top each . . .
How many balls touch exactly 6 other balls?
Gerry has a cube twelve inches on a side. If he cuts the cube into smaller . . .
Which of the shapes has the largest perimeter?
How many blue lines are there in the picture?
How many colored polygons are there in the picture? In elementary . . .
What is the greatest number?
How many squares of any size are in the picture?
Russia has an area of 17,075,200 square kilometers. Canada has an area of . . .
What is the area of the colored shape?
Which shape has the largest area?
How many right angles are there?
Which shape has the smallest perimeter?
Which two line segments are parallel?
Describe the colored area of the rectangle in terms of a fraction. Remember, . . .
How many triangles could you draw using any three of the five points as . . .
How many bricks are needed to build these walls?
Thomas has 24 meters of fence and wants to make a rectangular yard with the . . .
The letter 'A' is symmetrical. A symmetrical figure can be folded in half and . . .
Which part of the shape is green?
Find the perimeter of the shape.
Which figure is a rectangle with exactly 1 square, 2 triangles and 1 trapezoid?
What is the position of the arrow? Remember, there may be more than one . . .
Which of these 3-D shapes has the most edges?
What is the distance between the 2 arrows? Remember, there may be more than . . .
Which segment has a length of 8?
Find the midpoint coordinate of line segment AB
Which shape has at least 1 right angle?
Which picture has symmetry?
Which of these parts has the largest area?
Which figure has a greater area?
Find 2 shapes with equal perimeters.
Picture shows a plan of a square garden. The distance between apple trees is 5 . . .
Which shape does NOT have any right angles?
The shapes with at least one right angle are:
Which figure can form a cube when folded on the dotted lines without . . .
What is the area of the shaded figure?
Which sides of the figure seem to be perpendicular?
Which group of figures CANNOT be made by cutting up the rectangle?
About how many more degrees must the temperature rise to reach 44 degrees?
Find the length of the white line in the middle of the corridor.
I assemble rectangles from colored squares. All the squares on the edges are . . .
How many triangles are there?
Select the shape with the largest area.
In the picture, figures ABCDEF and UVWXYZ have the same shape and size. Which . . .
Which shape below has the same perimeter as the shape at the right?
Children launched 40 balloons. They found 20 balloons. The diagram shows . . .
A pentagon (from pente, which is Greek for the number 5) is any five-sided . . .
Which figure has all sides the same length?
How many different tiles are there?
How many lines of symmetry are there?
How many squares are there?
Which rectangle has the largest area?
Which letter in the word MATH has more than one line of symmetry?
Estimate how many red circles can be placed around the blue circle so that . . .
Which figure is divided into 4 congruent shapes? Two figures are congruent if . . .
What is the largest three-digit number that has both vertical and horizontal . . .
How many squares are there?
How many vertexes does the shape have?
How many cards are there in the picture?
The picture shows a sketch of a park. Which of the shapes below does not . . .
Which shape shown on the right has the greatest area?
How many right angles are there in the shape?
Which picture of a transformation shows ONLY a translation (slide)?
How many shaded squares are there in the picture?
For which letter did I use the greatest amount of green paint?
Removing which square results in the decrease of the perimeter of the blue . . .
Removing which square does not change the perimeter of the blue shape?
I cut four congruent triangles off the corners of a rectangle to make a . . .
How many boxes measuring 1 x 2 x 3 can be packed into a container measuring 3 . . .
Find the shape that has the greatest number of vertexes.
What is the maximum length of the side of a cube that can fit in this box? . . .
I cut a square off of a corner of a colored square. What part of the initial . . .
How many blue circles are there in this picture?
Which shape has the greatest number of right angles?
Which shape has the smallest perimeter?
An ant goes from point A to point B along the indicated path. How many times . . .
The net can be folded into a cube. Which letter is opposite the face marked . . .
What fraction of the planks are not painted yet?
Which shape has the smallest number of vertexes?
How many obtuse angles are there in this shape? [An obtuse angle is one . . .
What is the largest number of shapes that have the same perimeter?
Which shape has the smallest area?
Which two line segments are perpendicular?
Thomas has 32 meters of fence and wants to make a rectangular yard with the . . .
Which part of the shape is blue?
Find the area of the symmetrical shape.
Find the point that is exactly in the middle between the two red arrows. How . . .
Which point is the closest to the midpoint coordinate of line segment AB?
Find two similar shapes with different areas. The similar shapes are the . . .
The picture shows a plan of a square garden. The distance between apple trees . . .
Which has the largest area?
Which sides of the figure seem to be parallel?
A symmetrical figure can be folded in half and have both sides match exactly. . . .
The tower shown is made of cubes stacked on top of each other. Some of the . . .
Estimate the perimeter of the colored figure.
In the picture, figures ABCDEF and UVWXYZ have the same shape and size. Which . . .
What two shapes share the shortest common border?
The street blocks on State Street have the same length. Which distance is . . .
How many shapes with areas greater than 10 square units are there?
How far from the mark "4" of the ruler is the position of the arrow? (The . . .
Find the odd one out.
The picture shows a 5x5x5 solid cube. How many small cubes must be used in a . . .
What shape has the largest area?
How many lines appear in the picture?
About how long is this string?
How many small cubes were used to build this solid figure?
What part of the square is the largest?
What do you call a triangle with two equal sides?
What is the perimeter of the following figure with right angles?
What is the total displacement of a boy who walks 1 block north, 2 blocks east, . . .
How many cubes are there?
Four squares of colored paper of the same size have been placed on top each . . .
What is the largest number of balls that a ball touches?
Gerry has a cube twelve inches on a side. If he cuts the cube into smaller . . .
Which of the shapes has the smallest perimeter?
How many lines of symmetry do the snowflakes have?
How many balls are there in the second from the bottom layer of the pyramid?
Sort the shapes by their combined areas from smallest to largest.
How many colored polygons are there in the picture? In elementary . . .
What is the sum of the number of edges on a cube and the number of faces on a . . .
The reservoir is 70 cm wide, 70 cm long and 50 cm high. The wall thickness is . . .
Please identify the largest area.
Please identify the largest area.
A symmetrical figure can be folded in half and have both sides match exactly. . . .
A wooden cube measures 10 cm on an edge. What is the greatest number of . . .
What is the area of the colored shape?
In the figure, each number represents the length of the nearest segment. All . . .
The figure shows a pentagon and its exterior angles. Find the sum of the . . .
Which of these shapes has the smallest area?
What is the total number of lines of symmetry that can be drawn on the shape?
There are two points A and B on the grid. We want to plot two more points . . .
What is the area, in square units, of the polygon?
Which shape has only one pair of parallel sides?
An underground pipe drains water from a house. The pipe must drop 11 . . .
Is the dotted line a line of symmetry?
Find the two similar shapes.
Which shape has 3 lines of symmetry?
Anna and Bob are playing tic-tac-toe on their game board. The picture shows the . . .
Which figure has the largest perimeter?
If you look at this object from the front, what will you see?
The perimeter of the star is equal to the perimeter of the regular hexagon. . . .
A rectangular greeting card has an area of 330 cm
2
. One side of . . .
Green Tennis Club members are making a logo. The logo of the club is blue . . .
How can you go from A to B? Remember, there may be more than one correct . . .
Which angle measures more than a right angle?
Two triangles form a parallelogram with an area of 100 square meters. What is . . .
What is the approximate measure of this angle in degrees?
We will increase the height of the photograph to 22.5 cm while maintaining the . . .
Anna wraps ribbon around a present. She also needs 34 more centimeters (cm) of . . .
What is the perimeter of the shaded figure?
The street blocks on State Street have the same length. What is the distance . . .
Which new figure can be formed by placing these triangles together?
Which two roads on this map appear to be parallel?
A 7x7x7 cube is painted, and then cut into 1x1x1 cubes. How many of these . . .
Which line segments are equal?
What is the maximum number of boxes measuring 0.3m x 0.2m x 1m that can be . . .
For which letter did I use the smallest amount of green paint?
Which arc comes from the larger circle?
Select the shape with the largest perimeter.
The tower shown is made of cubes stacked on top of each other. Some of the . . .
In a 3 x 3 grid, there are 8 lines that contain at least 3 points. How many . . .
How many triangles are there?
How many different lines can you draw through point C, D, E and F that are . . .
Which area is the smallest?
How many squares of any size exist in the figure?
Which of these parts has the smallest area?
How many different lines can you draw through these five points?
The picture shows a regular polygon. Which line is parallel to the line AB?
Removing which square results in the increase of the perimeter of this figure?
The line is 0.25 millimeters thick and 8 kilometers long. What area does the . . .
Which of the following could be the graph showing the perimeter Y of a square . . .
John ate a share of a pizza and gave the other part to his friends Jim and . . .
Estimate how many times larger the red area is compared with the blue area.
I cut a triangle from a square piece of cardboard as shown in the picture. . . .
For which shape are all sides the same length?
Which two shapes have the largest common area?
How many axes of symmetry does the figure have?
Find the top view of the figure.
Which rectangle has the smallest area?
The game Battleship (Battleships or Sea Battle) is a guessing game played by . . .
Find a pair of beads that are exactly the same distance apart as the length of . . .
Which point is the closest to the line AB?
Which shape has the smallest perimeter?
How many times larger than the area of letter T is the area of the square?
Which point is the closest to point A?
For which drawing did I use the greatest amout of ink?
Which shape has the smallest area?
What two pieces will fit together perfectly to form the same shape as the . . .
I am using red and yellow tiles to make the pattern shown on the right. If I . . .
I drew a straight chalk line across the 8x8 chessboard. What is the largest . . .
I draw a line through each pair of the vertexes of a square. Into how many . . .
How many lines can you draw through these six points? Each line has to pass . . .
ISO (World Standard) drawing sizes are 841 x 1189 millimeters for A0 paper . . .
If I fold a square paper vertically, the new rectangle has an area of 32 square . . .
How many upper case letters look the same when rotated 180 degrees? Remember, . . .
Russia has an area of 17,075,200 square kilometers. Canada has an area of . . .
The letter 'A' is symmetrical. A symmetrical figure can be folded in half and . . .
Which segment has a length of 9 units?
Which shape has the smallest angle?
Which of these shapes has the largest area?
Which shape has 4 lines of symmetry?
Anna and Bob are playing tic-tac-toe on their game board. The picture shows the . . .
The perimeter of the star is equal to the perimeter of the regular hexagon. . . .
Which line segment is the smallest?
Tim expands his rectangular-shaped garage. The garage is 5 meters wide and 7 . . .
How many of the small triangles would be needed to cover the trapezoid?
Which angle is the smallest?
In the picture, figures ABCDEF and UVWXYZ have the same shape and size. Which . . .
Which shape below has the same perimeter as the shape at the right?
How many cubes are not visible?
Children launched 20 balloons. They found 20 balloons. The diagram shows . . .
Children launched 20 balloons. The diagram shows where the balloons were . . .
A pentagon (from pente, which is Greek for the number 5) is any five-sided . . .
A hexagon (from hex, which is Greek for the number 6) is any six-sided polygon. . . .
How many letters in the word MATH have only one line of symmetry?
How many cubes with the side size 0.3 can fit in the box?
All angles are right and the lengths of the sides are given in miles in the . . .
Find the missing part.
Squares 1, 2, and 3 have sides of length 1, 2, and 3 units, respectively. . . .
How many small cubes were used to build this solid figure?
What is the minimum number of straight lines to draw two squares?
Which is true?
What is maximum number of times two equal hexagons can intersect?
What is the area of the squares (each division in the graph represents 1 mile)?
Estimate the ratio of areas of the two parts.
How many squares are there?
Find the sum of the angles.
How many small squares are needed to completely cover the surface of the green . . .
Can we use each of the four small shapes on the left exactly once to make the . . .
How far apart are the marked point and the end of the scale?
A shop owner installs a security camera on the ceiling of his shop. The camera . . .
What is NOT a property of a parallelogram?
Tim expands his rectangular-shaped garage. The garage is 4 meters wide and 5 . . .
Both triangles are isosceles. Which is the biggest?
What is the smallest?
Which two shapes have the same area?
What is the smallest?
Identify the surface area of the brick.
Anna cut four congruent triangles from the corners of a rectangle to make a . . .
The shape is turned 270
o
clockwise, and then 45
o
. . .
The volume of a box is 750 cm
3
. The ratio of the box length, width . . .
A, B, and C are the midpoints of the sides of an equilateral triangle. Which . . .
The diagram shows two skateboard ramps. Are the ramps similar triangles? . . .
By how many times is the perimeter of the shape made smaller, compared to the . . .
The ball is covered with different kinds of polygons. Find them.
The shape is to be reflected 3 times over the vertical line y and then reflected . . .
Find the value of X.
Add one square to this pattern to give it one line of symmetry. Find the . . .
Find the smallest arc length.
How do the following planes intersect?
How much of the following figure is colored?
How many of the small triangles would be needed to cover 1/4 of the trapezoid?
Find the number of lines of symmetry in a square.
Which shapes each have 1 line of symmetry?
John starts at point A and then follows the arrows. Where is the end of the . . .
Which angle measures 90°?
Each square is 1 square unit. What is the area of the colored triangle?
Which shape can be made by placing together these two shapes?
Two boys, starting at the same point, walk in opposite directions for X . . .
A 7x7x7cube is painted, and then cut into 1x1x1 cubes. How many of these . . .
Which of the following nets will form a closed triangular prism?
Which line segment is the longest?
The city council plans to build a playground. The shape of the playground will . . .
The shape is composed of squares and isosceles triangles. What percentage of . . .
Four people start from the same point. A walks northwest at 1 km/h. B walks . . .
The picture shows two identical squares with sides that have a length of 1 . . .
For what X are triangles ABC and ADE similar?
Which is the closest to the value of the midpoint between 268 millimeters and . . .
If each small square in the grid to the right is 1 square unit, what is the . . .
How many different lines perpendicular to line AB contain points C, D, E, or F?
A school garden is 4 m long and 3 m wide. How many bushes half a meter apart . . .
A rectangular prism is made up of four pieces, each consisting of colored cubes . . .
How many more lines must I draw to make a shape that has a line of symmetry? . . .
How many Ts can be placed inside the square without intersection?
The picture shows a regular polygon. Which line is perpendicular to the . . .
How many of the six faces of the die shown on the right have more than three . . .
The area of each square in the picture is one square unit. What is the area . . .
Which shape could appear as the overlapping of two identical squares?
How many different line segments connecting red and green points can be drawn? . . .
How many boxes measuring 1 x 2 x 3 can be packed into a container measuring 4 . . .
How many parts can I get if I cut the semi-ring shape using two straight cuts?
What is the smallest number of additional squares that must be shaded so that . . .
How many pairs of beads are exactly the same distance apart as the length of . . .
Which two arcs are closest to each other?
The picture shows a regular polygon. Which line is perpendicular to the . . .
For what X do the centers of the two circles coincide?
I cut a triangle off a corner of a square to make a pentagon. What is the . . .
The figure shows a triangle inside a square. What is the area of the colored . . .
What would this picture look like in a rearview mirror?
Find the area of the shape.
Compare the perimeters of the colored shape with the 2 x 2 outer square.
What is the maximum amount of Xs that you can you place on a Tic-tac-toe board . . .
Which of the following is the odd one out?
Three of the four pieces below can be put together to form a perfect square. . . .
An underground pipe drains water from a house. The pipe must drop 12 . . .
Anna and Bob are playing tic-tac-toe on their game board. The picture shows the . . .
A rectangular greeting card has an area of 195 cm
2
. One side of . . .
Which is the smallest angle?
We will increase the height of the photograph to 33 cm while maintaining the . . .
Anna wraps ribbon around a present. She also needs 32 more centimeters (cm) of . . .
A 7x7x7 cube is painted, and then cut into 1x1x1 cubes. How many of these . . .
Which line segment is the largest?
For which letter did I use the greatest amount of green paint?
Both triangles are isosceles. Which is the smallest?
What is the largest?
Which shape has the largest area?
The shape is to be reflected 3 times over the vertical line y and then . . .
The shape is to be reflected 2 times over the vertical line y and then reflected . . .
Find the largest arc length.
Which two shapes have the same number of lines of symmetry?
Which is the closest to the value of the midpoint between 274 millimeters and . . .
Which area is the largest?
Which of these parts has the largest area?
Which of the following graphs gives the greater value y for x = 2?
I stack 64 cubes on my table and paint them without moving any. How many . . .
All angles are right and the lengths of the sides are given in miles in the . . .
The measure of an interior angle of a regular polygon is two times the measure . . .
What fraction of the rectangle is shaded if A is the midpoint of the bottom . . .
How many different heights can you build up with 2 bricks, each measuring 30 x . . .
How many planes of symmetry does the shape have?
How many squares contain the red dot?
The year was read the same the correct way up as upside down. When was the . . .
I divided a 3 x 4 square into 6 squares. What is the smallest number of . . .
Which segment has the smallest measure?
What is the largest measure between two red points?
How many angles with different degree measures can be seen in the picture?
What is the minimum number of matches that must be moved in order to obtain two . . .
A green cross is formed by placing two rectangles 8x4 over each other. What is . . .
How many squares of any size are there in the picture?
I can draw 2 diagonals in a square. How many diagonals can I draw in a . . .
A square has an area of 30 m
2
. What is the length of its side?
John walks for one and a half hours at an average speed of 5.5 km/h. Then he . . .
Identify the shape with the largest perimeter.
Identify the ratio AB:BD.
What is the length of BC in the right-angled triangle?
Which pair of angles in this figure have the same value?
There are 2 parallel lines in the figure. What is the value of angle x?
What is the greatest number of cubes with a side length of 3 centimeters that . . .
If each edge length of this shape is doubled, what will happen to its volume?
A curtain covers a window as shown on the right. We approximate the area of . . .
Which one of the triangles is not always similar to the others?
Which angle is largest?
Which angle is the smallest?
Find the value of X.
Archery target faces have five colors, with each color divided into two parts . . .
Find the mirror line.
Find the center of rotation.
What is the size of angle X?
Which segment length is the smallest?
How many right angles are possible in a polygon with five sides?
Which drawing represents the top view of this figure?
Which triangle has angles that appear to measure 40°, 60° and 80°?
Which figure can be rotated 60° about its center and have its final . . .
Find the shape that has fewer than 15 sides and at least one 90° . . .
In the diagram, the radii of the two concentric circles are 5 and 10, . . .
If two sides of the triangle have lengths of 11 and 22, which of the following . . .
Which shape has the largest shaded region in terms of area?
In the diagram, triangle ABC is an isosceles. How many different angles are . . .
A 7x7x7cube is painted, and then cut into 1x1x1 cubes. How many of the cubes . . .
Ten cubes are glued together, and then the entire figure is painted. How . . .
The green area 'G' is 80% of the entire area of the rectangle. Find x.
If G is the total area of the green regular octagon and R is the total area of . . .
The figure shows a regular hexagon. What is the fraction of the area of the . . .
Which of the following cubes can be folded from this net?
I strike a pool ball from corner A of the rectangular billiard table at an . . .
A cross-shaped lawn has a 1-meter wide path that surrounds it. Each side of . . .
The height of a cylinder is decreased by 10%, and the radius of the cylinder is . . .
What is the area of a square with a diagonal of length 8?
Estimate the difference between the smallest and largest areas of the columns.
A net can be folded into a cube. Which of the faces is opposite the face . . .
Find the missing part. Remember, there may be more than one correct answer.
Which of these diagrams could be drawn without taking the pen off the page and . . .
I place a digital clock on a mirror. The time 18:30 on the clock reads the . . .
Small blue squares have the same size. What share of the large square is . . .
Find the area of the triangle.
This shape was formed by removing a small cube from a big cube. The volume of . . .
How many green triangles are needed to completely cover the square?
How many blue T-shapes can be placed inside the 5x5 square without intersecting . . .
The game Battleship (Battleships or Sea Battle) is a guessing game played by . . .
How many pairs of beads are at a distance apart which is smaller than the . . .
Estimate how many times larger the perimeter of the red triangle is compared . . .
The picture shows a regular polygon. Which two lines are parallel?
How many points exist where the rays intersect?
ABCD is a rectangle. E, F, G and H are midpoints of AO, BO, CO and DO . . .
I am using red and yellow tiles to make the pattern shown on the right. There . . .
A honey bee is walking from point A to point B along the indicated path. If . . .
What fraction of the square is red?
Alex is framing a small flower box by four rectangular bricks. Each of the . . .
An ant goes from A to B along the indicated path in the equilateral triangle . . .
If the red area is five times smaller than the blue area, what is X?
What is the ratio of the shaded area to the area of the big circle?
What is the measure of the marked angle in the regular hexagon?
What is the angle between the hour hand and the minute hand at 14:20?
Guesstimation. How many of the small triangles would be needed to cover the . . .
In the city of Konigsberg there were seven bridges. There was a tradition to . . .
The circles are equally spaced. Find 2 regions of equal area. One of them is . . .
Find the perimeter of a square that consists of two rectangles with perimeters . . .
How many apples can I place, such that the distance from every apple to every . . .
The shape is turned 315
o
clockwise. Find the new position of . . .
The volume of a box is 3000 cm
3
. The ratio of the box length, . . .
What is the area of the shape with 4 axes of symmetry?
The shape is to be reflected 4 times over the vertical line y and then reflected . . .
Find the largest side.
Two boys, starting at the same point, walk in opposite directions for X . . .
A 7x7x7cube is painted, and then cut into 1x1x1 cubes. How many of these . . .
The shape is composed of squares and isosceles triangles. What percentage of . . .
Four people start from the same point. A walks northwest at 1 km/h. B walks . . .
John walks for one and a half hours at an average speed of 5 mph. Then he . . .
There are 2 parallel lines in the figure. What is the measure of angle . . .
What is the greatest number of cubes with a side length of 1.49 cm that can fit . . .
Which two segments have the same length?
A hall is cube-shaped. The volume of the hall is 343 cubic meters. Find the . . .
What is the longest path?
One face of a rectangular box has an area of 15 square cm. Another face is 20 . . .
One face of a rectangular box has an area of 15 square cm. Another face is 20 . . .
For what X is the area of triangle ADE four times larger than the area of . . .
Which is the closest to the value of the midpoint between 282 millimeters and . . .
A school garden is 4 units long and 3 units wide. How many bushes a unit . . .
Which shape has the smallest area?
Which set of circles has the largest perimeter?
Which set of circles has the largest area?
How many cubes can be removed from the tower without the top cube moving?
What is the largest hollow cube that I can construct from 500 small cubes?
Two towers have the same height. Find the ratio of the width to the height . . .
If the area of the square is B and the area of the circle is C, what is the . . .
All three bridges have the same horizontal width a. Which bridge has the . . .
The figure shows a vertical cross-section of a road. Which part of the road . . .
Find the area of the red shape if the area of a small triangle is 1 square unit.
The 5 x 5 grid contains squares of different sizes from 1 x 1 to 5 x 5. How . . .
Compare the areas of the squares B and A.
A set of 119 one-unit wooden cubes is packed on one level in a rectangular . . .
What is the difference between the red area and the blue area if the numbers . . .
What fraction of the large square is shaded?
The border of this shape is composed of four semi-circles, each with a radius . . .
What is the maximum area of a triangle inside a unit square?
How many 4 cm by 4 cm squares can I obtain from a wire that is 100 cm long?
How many signs have a line of symmetry?
Find the number.
I want to cut the cross by two straight cuts to make the greatest number of . . .
What is the maximum number of points of intersection of five distinct straight . . .
Find the external surface area of the pyramid if each cube side is 1 unit. . . .
An arrangement is formed by laying nine colored squares of the same size one . . .
I divided a 3 x 4 square into 6 squares. What is the smallest number of . . .
What is the smallest area of a rectangle which includes all five squares?
If the height of the tower is 88 mm, estimate the height of a tower that uses . . .
The sum of the perimeters of three rectangles of the same area is 192cm. What . . .
Divide the square into four equal shapes, so that each shape includes a circle. . . .
I spent 10 minutes to paint the upper part of the shape in blue. How much . . .
I cut two or three corners off an equilateral triangle, each cut being . . .
The picture shows a collection of squares. If the smallest squares have a side . . .
Find the area of the blue arrow.
A hall is cube-shaped. The volume of the hall is 216 cubic meters. The door . . .
Which shape could NOT be a cross section of a cone?
What is the shortest path?
The aquarium was full of water. A girl has tipped it on its side, so five . . .
Which fraction of this triangle is shaded?
One face of a rectangular box has an area of 15 square cm. Another face is 20 . . .
Find the length of the side of a cube whose volume is numerically the same as . . .
This large cube is made from smaller wooden cubes. All of the faces of the . . .
A rectangular floor measures 3 meters by 9 meters. It is tiled with . . .
A sports club is replacing its water supply lines for a swimming pool. The . . .
John is building a flight of stairs. Each stair is the same size. What is . . .
Three corners of a square are A(1,4), B(4,6), and C(6,3). Where is the fourth . . .
How many red circles can be placed inside the blue circle without intersecting?
Members of the Green Tennis Club are creating a logo. The logo of the club is . . .
Mr. Clever gave his students this pattern of gray tiles. Develop an equation . . .
Which side of this shape is 5 units long?
A wheel with a red mark on it is rolled along a straight line. What is the . . .
The squares have side lengths of 2 and 4. Find the area of the colored . . .
The figure consists of congruent squares. The perimeter of the figure is 10 . . .
The figure shows a regular octagon. What is the area of the colored part as . . .
I want to build a fence around a rectangular garden. The garden has an area . . .
How many planes of symmetry does an Egyptian pyramid have?
Find the line that splits the area of the ten squares into two equal parts. . . .
The bigger star is similar to the smaller one. It is twice the height of the . . .
How many circles can be placed inside the square without intersecting each . . .
The area of the smallest square is 124 square meters. What is the area of . . .
Cut 1 cube into 8 pieces. One of the pieces is a cube whose volume is three . . .
Find two pairs of shapes that are exactly the same distance apart, where the . . .
You are at point A. You can only walk to the north or east. For example, . . .
For which capital letter of the English alphabet would you use the greatest . . .
The arrow top is at the midpoint of the edge of the rectangle. What fraction . . .
Each diagonal of a cube is increased by 50%. What was the percentage increase . . .
A and B are midpoints of the corresponding sides of the rectangle. What . . .
Every face of a cube has at least one white edge. What is the smallest . . .
A circle is inscribed in trapezoid. What is the minimum possible perimeter of . . .
The circumference of each circle is 24 meters. What is the perimeter of the . . .
John cuts a large piece of cheese into small pieces using straight cuts from a . . .
All triangles are inscribed in circles with a diameter of 1 meter. Find the . . .
What is the sum of the marked angles?
Four touching circles have the same radiuses. Their centers are the corners . . .
Two polygons are congruent if their corresponding sides are equal in length and . . .
Which of the following could be the graph showing the area Y of a square with . . .
Fifteen billiard balls perfectly fit into a triangular rack. What is the . . .
I want to cut round bread into eight equal pieces. What is the smallest . . .
The diagram shows my square pond with a tree in each corner. How much can I . . .
How many colored four-unit shapes can be placed inside the 6x6 square without . . .
A solid is a cube with three tunnels drilled through it, as you can see in the . . .
Four matchsticks form a square. How many non-overlapping squares can be . . .
Ten acrobats are evenly spaced at a circus circular arena. Which acrobat is . . .
It costs $24 to paint a cube. Before painting, it was cut into eight cubes. . . .
Six shapes can be fitted together with no gaps and no overlaps to form a . . .
I want to cut this shape into four pieces all of precisely the same size and . . .
What is the greatest number of possible points of intersection of three . . .
A rectangle floor 12 x 16 is covered by square tiles of sides 40 cm. A chalk . . .
The picture shows a regular pentagon and an equilateral triangle. How large . . .
The colored figure in the picture consists of identical isosceles right . . .
How many inner right angles are possible in a hexagon?
A guard walks completely around the walls of a rectangular castle with a . . .
In a triangle, the sum of two of the angles is equal to the third, and the . . .
If the coordinates of one end point of a line segment are (1 , 2 , -3) and the . . .
What is the probability that a point chosen randomly from the interior of a . . .
Eight poles are evenly spaced on the circumference of a big circle. What is . . .
A quadrilateral with one pair of parallel sides is referred to as a trapezoid. . . .
Find the sum of the five marked angles of a star that is inscribed into a . . .
Find the angle between two diagonals drawn on two faces of the cube.
Which red piece can be put with the blue one to form a rectangle?
What is the area of the square?
An analog wristwatch says that the time is 14:20. The minute hand moves 300 . . .
I assemble rectangles from colored squares. All the squares on the edges are . . .
Identify two shapes with the same perimeter.
What is the perimeter of the triangle?
If each edge length of this shape is tripled, what will happen to its volume?
A curtain covers a window as shown on the right. We approximate the area of . . .
Which angle is largest?
Which shape is closer to the point (0,0) ?
How many right angles are possible in a polygon with six sides (hexagon)?
Which triangle has angles that appear to measure 42°, 48° and 90°?
Which figure can be rotated 72° about its center and have its final . . .
Find the shape that has more than 5 sides and no right angles ( 90°).
In the diagram, the radii of the two concentric circles are 4.5 and 10, . . .
If two sides of the triangle have lengths of 22 and 33, which of the following . . .
Which shape has the largest white region in terms of area?
If G is the total area of the green regular octagon and R is the total area of . . .
Find the area of the triangle ABC
Calculate the area of the shape in small squares.
Estimate the size of the square if the circle diameter is 25 inches.
The area of the smallest square is 12 square inches. What is the area of the . . .
Which is the plan view of the 3-D shape?
Which two lines are perpendicular?
What is the volume of the figure, if X = 4?
In a triangle, the sum of two of the angles is equal to the third. The lengths . . .
The blocks of ice are of the same height. Which assembly melts slowest?
A telephone company places round cables in round ducts. What position of the cables is the . . .
What is the area of a square with a diagonal of length 10 units?
Eugenia discovered round ink spots on her music paper. Which music paper has . . .
Anna takes a rope that is 24 ft long and creates a square. Bob takes the rope . . .
Which shape cannot be formed by the intersection of two squares?
Which is the odd one out?
Cut the shape into two pieces and create a square from them. How many small . . .
What is the absolute difference between the largest and smallest possible areas . . .
Three equilateral triangles form seven unique regions. What is the maximum . . .
I increase the cube so that the diagonal AB doubles its original size. How . . .
All three pathways consist of semi-circles. Which pathway from A to B is the . . .
I have a cube with a volume of 1000 cm
3
. I make the length 20% . . .
Find the maximum area of a rectangle that has a perimeter of 36 m.
If we add all these vectors and place the start of the resulting vector at the . . .
What is the ratio of the reverse area of a dime to its circumference if its . . .
Estimate the percentage of the circle area compared with the square area.
If I use 30 g of batter to make a crêpe of 30 cm in diameter, how much batter . . .
How many squares one inch on a side can be fitted into a circle with a . . .
What is the surface area of the cube if its side length is 3 cm?
James the Mathematician just measured the angle of his piece of pizza, which is . . .
A solar power station includes 17,000 mirrors, each 60m
2
. What . . .
Dr Heidi has been called in as an expert to solve a problem. There is a device . . .
Britain’s greatest inventor of mathematical puzzles Henry Ernest Dudeney asked . . .
Find X.
This rectangle has an area of 1 square meter. What is the ratio of its width . . .
Marek, the pan-dimensional super being, has arbitrarily defined his current . . .
What is the minimum number of matches that must be moved in order to obtain . . .
What is the perimeter of a regular hexagon that perfectly fits into a circle . . .
I can draw 2 diagonals in a square. How many diagonals can I draw in a . . .
The scale of a map is 1:20 000. The distance is measured as 5 centimeters on . . .
What is the greatest number of circles that can be placed around the central . . .
Which reservoir has the greatest volume?
Anna has made puzzle pieces by cutting wedges from a disk. Each wedge cut from . . .
Sixty-four coins are melted down and recast as a single coin of the same . . .
The diameter of the rear wheel of a circus bike is 99 cm. It is 1 cm smaller . . .
Rectangle ABCD contains five small congruent rectangles. The smaller dimension . . .
A diagonal is a line joining two non-consecutive vertices of a polygon or . . .
ABCD is a rectangle. E, F, G and H are midpoints of AO, BO, CO and DO . . .
Which is the front view of the 3-D shape?
Which shape was proportionally enlarged, turned, and moved to the point O?
Which fraction of the design is white?
How many lines of symmetry does a circle contain?
Which two lines are parallel?
What is the volume of the figure?
Which rays on this picture appear to intersect?
Shapes A and B are congruent equilateral triangles. Shape C is formed by . . .
The diagram illustrates a row of three squares formed by matches. How many . . .
A quadrilateral is any four-sided figure. How many quadrilaterals are there . . .
The big square has a side length of 1. Its sides' midpoints are connected to . . .
A line passes through P(3,1) and Q(36,1000). How many other points with . . .
How many planes of symmetry does a brick have?
The picture shows two identical squares with sides that have a length of 1 . . .
Two lines and two diagonals are drawn through the center of the rectangle. . . .
In a triangle, the sum of two of the angles is equal to the third. The lengths . . .
The Earth's diameter is 12,700 km. The horizon is 11 km from the top of a . . .
How many equilateral triangles can you create using six identical matches? . . .
Four towns are situated at the corners of a square. The government decided to . . .
What is the volume of the object?
How many squares can be placed inside the circle without intersection?
Which of the nets can be folded into a box with a red ribbon printed . . .
The blocks of ice are of the same height and depth. Which assembly melts . . .
Egyptian pyramids are square pyramids. Which of the following nets can be . . .
The figure shows an example how a 3x4 net can be covered by L-shaped figures. . . .
A square is inscribed in a triangle. Find the length of the side of the . . .
A telephone company places round cables in round ducts. What arrangement of . . .
The figure shows a regular hexagon. What is the area of the red part as a . . .
A semicircle is inscribed in the right triangle. Find the radius of the . . .
Among the following shapes of equal perimeter, which has the largest area?
A point of the square grid is chosen to form an isosceles triangle together . . .
Eugenia discovered round ink spots on her music paper. Which music paper is . . .
What is the greatest number of possible points of intersection of four . . .
The smallest apple weighs 100 grams. The largest apple has a perimeter 10% . . .
I want to place together five identical shapes without overlapping them to form . . .
The left picture shows nine dots arranged in a 3 x 3 square. The dots are . . .
Anna takes a rope that is 16 meters long and creates a square. Bob takes the . . .
Which of these diagrams could be drawn completely without lifting the pen off . . .
For what value of x is the ratio between the red and blue areas at its . . .
What fraction of the large equilateral triangle is colored?
Which of the following graphs shows the dependence "square side length Y - its . . .
Shapes A and B are congruent equilateral triangles. Shape C is formed by . . .
Seven squares with side length of 1, 2, 2, 2, 3, 4, and 5 units can be fitted . . .
The area of the white cross is 20% of the area of the square flag. Five white . . .
Two heights in a triangle are both not less than either of two of its sides. . . .
If the largest size of a cube is 3 times larger than the original size, what . . .
A Heronian triangle is a triangle whose side lengths and area are all integer . . .
I arrange 10 points so that 3 lines each go through 4 points. I would like to . . .
The top of a rectangular box has an area of 20 square meters, and two sides . . .
What is the probability that a point chosen randomly from the interior of an . . .
This shape was formed by removing a small cube from a big cube. The side . . .
I want to cut a wooden cube that is four inches on each side into 64 one-inch . . .
What is the angle between the hour hand and the minute hand at 9:10 ?
I cut a pyramid from a brick as shown in the picture. What part of the brick . . .
What is the probability that a point chosen randomly from the interior of a . . .
Which is the side view of the 3-D shape?
A rectangle has a width of 0.7x and a length of 0.4x. Which formula is the . . .
Which gives the largest answer?
An arrow rotates 372° in one second. How many revolutions does it make in . . .
A boy is making boxes from cardboard. He is going to cut square pieces off . . .
The American flag consists of thirteen equally spaced, horizontal red and white . . .
A block of wood in the form of a cuboid 8 x 9 x 10 has all its six faces . . .
A sculptor cuts a cube with a plane. What is the maximum number of possible . . .
A bug walks from corner A of a room to corner B by only moving along the walls. . . .
Connect 7 points on the circumference of a circle. What is the largest number . . .
All angles are right and the lengths of the sides are given in miles in the . . .
How many triangles with a perimeter 8 units have all side lengths that are . . .
A regular polygon has some perpendicular sides and some parallel sides. . . .
If a square is four and a triangle is three, how many is a regular star?
In a triangle, the sum of two of the angles is equal to the third, and the . . .
What is the absolute difference between the largest and smallest possible . . .
What is the volume of a right rectangular solid with face areas of 12, 21, and . . .
An aquarium has a water surface area of 10,000 cm
2
. I put a brick . . .
A piece of wire 75 cm in length is cut into two parts, one of them being 30 cm . . .
Estimate the ratio of the circumference c to the diameter of the circle . . .
Find the ratio of the areas of the large and small equilateral triangles.
A 3 by 4 rectangle is contained within a circle. What is the smallest . . .
A photograph is placed in a frame that forms a border 2.5 cm wide on all sides . . .
I have 33 coins. What is the minimum number of coins I need in order to make . . .
Which regular shape cannot be used to tile a floor with no gaps between tiles?
I divided a 3 x 4 square into 6 squares. What is the smallest number of . . .
A wooden empty box weighs 80 pounds. How much will another box of the same . . .
The picture shows a polygon with 7 sides and 5 right angles. How many . . .
There are 17 parallels and 12 meridians on a globe. Into how many areas is the . . .
What is the difference between the red area and the blue area if the numbers . . .
What is the side view of the three-dimensional object?
Swiss village Saas-Fee is entirely pedestrian and serviced by electric taxis . . .
The sum of the perimeters of three rectangles is 172cm. What is the largest . . .
I want to wrap 30 wooden cubes. Which packaging uses the least package?
Gerry frequently goes from his home to Jane's house, which is 4 miles away. . . .
Triangle ABC is equilateral. What is the ratio of the red and blue areas if . . .
What is the sum of the interior angles of a pentagon?
A team of archaeologists is exploring an underground complex on a remote . . .
A shop owner installs a security camera on the ceiling of his shop. The camera . . .
How many diagonals can I draw in an octagon?
A rectangle has a width of 0.3x and a length of 0.4x. Which formula is the . . .
Which gives the largest answer?
The edges of a large cube are 3 times longer than the edges of a small cube. . . .
An arrow rotates 366° in one second. How many revolutions does it make in . . .
Two satellites orbit at 1/4 R above Earth's surface. R is the radius of the . . .
A mathematician wants to approximate the width of a lake. He places 5 markers . . .
What transformation creates an image with a vertex at the origin?
What is the area of the colored shape?
Angles A and C are equal to 90
o
. Which proportion is true?
Each interior angle of a regular polygon measures 144
o
. How many . . .
A square garden is 401 square meters. The minimum distance between apple . . .
If the Earth's radius is twice the radius of planet M, then how much bigger is . . .
A boy is making boxes from cardboard. He is going to cut square pieces off . . .
Alex wants to arrange the cylinders from least to greatest volume. What is . . .
Which shape would be made if the two sections were fitted together?
Five boys Andrew, Brandon, Chris, Daniel, and Ethan live on State Street. At . . .
A boy cuts a cardboard circle and only cuts 5 straight lines. He does not . . .
How many planes of symmetry does a cube have?
How many boxes measuring 0.1m x 0.1m x 6.9m can be packed into a container . . .
The figure shows a pyramid made of small squares. I want to move the small . . .
The American flag consists of thirteen equally spaced, horizontal red and white . . .
The figure shows a regular pentagon. Compare the values of angles A and B.
Divide the analog watch face with two straight lines so that the sums of the . . .
Look at the mini-golf course. To what point would the player hit the golf . . .
How many interior right angles are possible in a polygon with seven sides?
Bill mows the front lawn, which is a 7m by 10m rectangle. The mower cuts a 1m . . .
Among the following shapes of equal area, which has the largest perimeter?
A block of wood in the form of a cuboid 9 x 10 x 11 has all its six faces . . .
I fold a square piece of paper in half four times without unfolding, making an . . .
How many squares can be formed by joining four of these points on the . . .
If I tile a floor with 3000 regular hexagonal tiles as shown here how many . . .
Path C consists of straight segments. Path D and E consist of semi-circles. . . .
A circle is drawn through two vertices of a square so that it is tangent to . . .
I placed together four identical triangles and the square, without overlaps, to . . .
Compare areas F and G
What is the sum of the marked angles?
Eight points are equally spaced on a circle. How many right angled triangles . . .
The picture shows six equilateral triangles. The sides of the triangles are . . .
The picture shows a tiling pattern which is made of square green tiles 10 x 10 . . .
Fifteen billiard balls perfectly fit into a triangular rack. What is the . . .
What is the smallest number of segments that needs to be moved so that the . . .
All three circles are tangent to the horizontal line and to one another. The . . .
A girl wants to cut the paper into several equal pieces of the same shape, and . . .
Two lines and two diagonals are drawn through the center of the rectangle. . . .
How many circles are needed to separate each star from all of the others?
I would like to cut the shape into the fewest possible pieces that will fit . . .
The colored figure in the picture consists of isosceles right triangles. . . .
The vertices of the smaller square divide each side of the larger square by a . . .
I blew some air into a spherical balloon and quadrupled its surface area (4 . . .
Estimate the area of the largest equilateral triangle that can fit within a 1x1 . . .
Four matchsticks form a square. How many non-overlapping squares can be . . .
Guesstimation. How many tennis balls can fit in a school bus?
What is the maximum number of apples (ideal spherical units) that can touch . . .
I arranged twelve one-inch wooden sticks in a polygon with an area of 6 square . . .
Which reservoir has the smallest volume?
Anna has made puzzle pieces by cutting wedges from a disk. Each wedge cut from . . .
How many coins do I need to melt down and recast to get a single coin of double . . .
Shape A and B are congruent equilateral triangles. Shape C is formed by . . .
The diagram illustrates a row of three squares formed by matches. How many . . .
A boy stacked colored cubes in a square pyramid like the one shown here. The . . .
The figure shows a red equilateral triangle inscribed within another . . .
The three circles have fixed centers, and the diameter of a circle is 7 / 8 of . . .
For this rectangular solid, which plane(s) contain(s) C and is/are parallel to . . .
Two similar pyramids have volumes of 343 m
3
and 64 m
3
. . . .
Among the following shapes of equal perimeter, which has the smallest area?
Which triangle with sides a, b, and c has the largest area?
Squares 1, 2 and 3 have sides of length 1, 2 and 3 units, respectively. What . . .
A square with a side length 20 has two vertices on the circle, and one side . . .
Two squares, each with sides measuring 2 cm, are placed such that a vertex of . . .
A recipe makes 5 pizzas that are 12 inches in diameter. If I decide to make . . .
Two congruent circles share a radius. What is the perimeter of the figure . . .
What is the area of a garden?
The large and small circles touch each other. What part of the large circle . . .
Estimate how long the rope is if its diameter is 1 cm.
Find the ratio of the areas of the large and small squares.
What is the largest possible side size of an equilateral triangle that fits . . .
The hypotenuse of a right triangle is 6, and the length of one leg is 2 units . . .
What part of the rectangle is red if points A and B are the midpoints of the . . .
How many lines can be drawn in a plane so that they are equidistant from 3 . . .
Three overlapping squares form 5 squares including themselves in the picture. . . .
You have a 5kg weight and a 12kg weight. They are the same height and are . . .
Estimate the maximum number of smaller 1-inch circles that fit in a larger . . .
What is the volume in cubic inches of the pyramid with height 10 inches? The . . .
I want to divide this shape into four congruent pieces - all of precisely the . . .
Which pyramid has the largest volume?
Find the area of the colored rectangle.
Which line goes through the center of the circle?
All sides of the white cross are the same. What percentage of the square is . . .
What is the sum of the interior angles B and D of the pentagon if three other . . .
If I picked three red points, each in the middle of a different side of the big . . .
A large rectangle of perimeter 44 is divided into 10 congruent rectangles. . . .
Find the area of the shaded region (in square units).
A fence around a rectangular garden has a perimeter of 14 meters. Its length . . .
The volume of water in a glass of V cubic centimeters (cc), varies directly as . . .
Tim travels 15 meters north of the flag in the football stadium. He turns . . .
S varies directly as the square of (H+1) S = 121 when H = 10 Find H when S = . . .
A rectangle has width W, length L, and area A. If integer W ≤ 9 and L . . .
A wire is wound around a circular rod. The wire goes exactly 5 times around . . .
Which is the best estimate of the area of the colored shape?
These two shapes are similar. What is the length of x?
Identify the area of the rounded square.
A boy stacked colored cubes in a square pyramid like the one shown here. The . . .
A six-pointed regular star consists of two areas. What is the ratio of the . . .
The figure shows a red equilateral triangle inscribed within another . . .
If the volume of a cube is X cubic meters and the total surface area of the . . .
The side of the colored square is x cm. What is the area of the red . . .
The three circles have fixed centers, and the diameter of a circle is 10% less . . .
L3 and L4 are two parallel lines in a plane. If L3 has 3 points equally . . .
What is the total number of lines of tangency that are common to circle C1 and . . .
For this rectangular-faced solid (cuboid), which plane(s) contain(s) B and . . .
Two similar pyramids have volumes of 216 m
3
and 64 m
3
. . . .
AB is parallel to CD. What is the value of X?
There are 2 identical circles. Circle A remains fixed, while Circle B makes 1 . . .
G is the area of the green region inside the biggest circle. R is the total . . .
The area of the external triangle is equal to 1. Its sides' midpoints are . . .
The pattern of shading in one quarter of a square is shown in the diagram. . . .
What is the maximum number of squares you can make using twelve identical . . .
A gardener has to reach the island in the middle of a pond without getting wet. . . .
Three reservoirs have the same height h=1. Which reservoir is bigger?
What is the largest semi-circle that can be inscribed in a square with a side . . .
Twenty matchsticks form five squares (one 3x3 and four 1x1). How many . . .
A ladder leans against a vertical wall. The top of the ladder is 4m above the . . .
If the length of the hour and minute hand of a clock are 3cm and 6cm . . .
All inner lines connect the corners of the big square and the midpoints of the . . .
A square is inscribed in a right triangle. Find the greatest possible ratio . . .
What value of X gives the greatest ratio of red area to the area of the big . . .
Among the following shapes of equal area, which has the smallest perimeter?
The sizes of the sealed bottle with water are shown in the figure. Find the . . .
How many equilateral triangles can you make using six identical line segments?
The following pattern is cut and folded to a square-based pyramid. What size . . .
John is using the spinner shown here to define the movement. Blue means one . . .
How much wrapping paper is needed to entirely cover a box that is 40 cm by 30 . . .
What is the ratio of the green area to the red area?
Four squares have dimensions as indicated in the picture. What is the area . . .
What is the maximum number of possible points of intersection of N different . . .
The diameter of one hair is 0.2 mm. Estimate the diameter of a plait of 1000 . . .
Two lines trisect (divide into three equal parts) each side of the polygon . . .
The shaded rhombus is formed by joining vertices of the square to the midpoints . . .
The diagram shows 15 billiard balls that fit exactly inside a triangular rack. . . .
The picture shows the areas of three rectangles. What is the area of the . . .
Two triangles form seven separate regions. What is the greatest number of . . .
There are six ways to travel from point S to point F on a small cube if only . . .
Estimate the area of the smallest square that can enclose the regular hexagon . . .
A, B, and C are squares with sides of length 1; D, E, and F are isosceles . . .
I drew three lines from the center of a square that has sides with a length of . . .
What is the maximum number of pieces that an apple can be divided into with . . .
Each of these five circles is tangent to at least 3 others. The medium sized . . .
Find the radius of the circle.
In a city, there were seven bridges. There was a tradition that a newly . . .
A sphere fits inside a cube. The maximum possible ratio of the volume of the . . .
I want to cut a wooden cube that is five inches on each side into 125 one-inch . . .
What line divides the green polygon into two parts of equal area?
I need 1 + 4 + 9 + 16 + 25 = 55 cubes to build a pyramid with a height of 5 . . .
I want to place N cubes so that each cube touches every other one. What is . . .
What is the volume of the second glass compared to the first one?
The Babylonians used a base 60 number system. What shape inspired them to . . .
Connect N points on the circumference of a circle. What is the largest number . . .
I take a map of the city where I live and lay it on my table. There is a . . .
What is the largest number of intersections of N lines?
I connected the midpoints of a polygon and constructed a new polygon that was a . . .
A pyramid and a tetrahedron with edges of the same length are glued together on . . .
I need 1 + 9 + 25 = 35 cubes to build a pyramid with a height of 3 cubes. . . .
Inspired by Boris Kordemsky. Four Knights problem: Cut the chessboard into . . .
Which shape is more symmetrical (i.e. has more planes of symmetries)?
How many 1x1 squares fit into the large square with the side length 4.8? . . .
What is the greatest possible number of points of intersection for 11 lines in . . .
The picture shows three squares with the side lengths of 10, 8, and 4 cm. What . . .
A trapezoid is formed by cutting off the top part of an isosceles right . . .
If regular stars are placed as shown to form a complete circle, how many stars . . .
What fraction of this regular octagon is shaded?
The stripes have the same width. What part of the square is red?
A circle goes through two adjacent vertices of a square and it is tangent to . . .
The figure shows adjacent squares. Find the sum of angles X and Y.
A helicopter takes me from Lausanne, Switzerland to the Swiss capital Bern in . . .
What is the probability of breaking a stick into three pieces and forming a . . .
What is the maximum number of trees that can be planted, not closer than 3 . . .
A rectangular yard with an area of 24 m
2
has sides in the ratio 2:3. . . .
Which triangle has the greatest area?
Which is a better fit? The smaller the percentage of the ‘area left over,’ . . .
Two perpendicular lines form four segments with lengths a, b, c, and d. . . .
The size of an NBA basketball court is about 29 by 16 meters. How many . . .
How many pentagons are there?
The golden border of the hexagonal brooch with maximum size 60 mm includes a . . .
What is the maximum number of sections into which a pancake may be divided by . . .
If I use 30 g of batter to make a crêpe of 30 cm in diameter, how much batter . . .
The numbers show the areas of corresponding triangles. What is the area of . . .
What is the perimeter of a right triangle whose shorter sides are 9 and 12 . . .
The picture shows a large cube 4 x 4 x 4 that was assembled from one-unit . . .
What is the largest number of straight lines you can draw through 9 points, so . . .
John cuts a large piece of cheese into small pieces using straight cuts from a . . .
Gerry has 24 meters of fence and wants to make a rectangular garden with the . . .
Find X.
Take two sheets of A4 paper (210 x 297 millimeters or 8.3 x 11.7 inch). Roll . . .
Two right-angled triangles have integer side lengths. Whilst all of the sides . . .
Estimate the maximum number of smaller 1-inch circles that fit in a larger . . .
There are two paths in a rectangular garden. Find the length of the shorter . . .
My garden fence creates a ten meters by five meters rectangle. If I reuse all . . .
Which shape has the smallest perimeter?
What is the largest distance if the angle B is right?
Three semicircles are constructed on the hypotenuse and legs of a right angle . . .
There are 3 circles of equal diameter. A line is tangent to the third circle, . . .
Which gives the largest answer?
Which animal is to the left of the wooden bucket?
Which figure is the same shape as the clock?
Which shape is in the middle? 
How many circles have two parts?
Select the smallest shape:
Which arrow points to the right?
How many rings are there?
Please find the shape with five sides.
Which shape has the largest number of angles? 
How many squares are there? 
Which bead is in the middle between two violet beads?
Find the shape that is between a red heart and a blue square. 
Which squares are the same size?
How many cubes are there?
What color is the smallest button?
Which arrow points to the left?
Find the letter on the card that is the closest to you.
How many different parts are there?
What is the smallest number?
Which drawing shows the largest number of blue squares?
How many rings are there?
How many colored cards are there?
Which letter is in the middle of the row?
How many different colors are there in the picture?
Which number is in a circle?
Which figure is the same shape as the pizza?
How many matchsticks form a square?
What two shapes share the shortest border?
How many open rings are there in the picture?
How many sides do a square and a triangle have?
How many sides does a honey cell have?
Find the shape with the smallest area
Which arrow points to the top?
How many sides does this shape have?
Please find the shape with six sides.
Who is the shortest person?
How many cubes are there?
Which triangle is the closest to the red line?
What color is the third largest ring?
How many cubes are there?
What is the shape of the square in the Vatican City? 
Which coin is the smallest?
How many sides does the red shape have?
How many faces do these two shapes have?
How many colored pieces of paper are there?
Which brick is in the middle?
What is the smallest part of the circle?
Using each shape only once, how many of these shapes together form a circle?
How many such shapes are needed to form a circle?
Which shape can you form from 3 sticks?
Which shape has five sides?
Which shape do the radishes form?
How many triangles are there in the picture?
Square pieces of paper overlap. How many pieces of paper are there?
How many faces does the stone have?
How many circles are there?
How many sides does the shape have?
How many circles can I cut off the dough sheet?
How many different colors are there in the square?
How many angles does the shape have?
How many red lines are there?
Please find the shape with four sides.
How many triangles are there?
How many vertices does this shape have?
How many line segments are there?
Select an object that has the same shape and size as this one:
Turn the figure upside down.
How many sides does this shape have?
Which gives the largest answer?
How many sides does this shape have?
Find a triangle. 
Which of the following shapes can be made of these three triangles?
About how many paper clips would be needed to go around this shape?
Find the shape that shows two equal parts. 
Which two shapes do not form a ring?
How many small circles are outside the square?
How many arrows are there?
Which shape is in the middle of the picture?
I chose one of the figures on the right. The figure I chose was blue. The . . .
How many line segments are there?
What two shapes share the shortest border?
How many sides does the red cross have?
Which cross is the smallest?
Eugenia discovered round ink spots on her music paper. Which music paper has . . .
What number is between numbers 2 and 7 in the picture?
Which ball is the farthest from the center of the triangle?
I strike a pool ball. The picture shows the trajectory of the ball. How . . .
How many trees are in a line between two other trees?
How many sides do these shapes have?
Which shape is the closest to you?
How many sides does the shape have?
How many cubes are there?
Which color is the fourth circle in the third column?
Which shape is the largest?
How many vertices does the shape have?
How many sides does the shape have?
Turn the figure upside down.
How many sides does this shape have?
Which part of the shape is the smallest?
How many circles have three colored parts?
How many vertexes does a brick have? A vertex is a point where edges meet, a . . .
Which shape is the smallest?
Find the flag with a largest white area.
Which part is the largest?
How many intersection points are there in the picture?
Find a picture where the red line is the line of symmetry.
Which of the shapes should be placed on top of the shape A to make a rectangle?
How many such shapes are needed to form a circle?
How many cards are there in the picture?
The star is inside how many circles?
How many triangles are there?
How many red triangles are there in the picture?
What is the shape of the carpet when it is rolled out?
Which is the longest?
Which line segment is the longest?
Flip the phrase over the dotted line
The shape has seven corners. Divide it into triangles. Find the minimal . . .
The tower is made up of three horizontal layers of cubes with no gaps. How . . .
Which two figures are faces of the block of wood? 
Which figure could be one face of the box? 
What is the difference between the largest and the smallest height?
How many straight segments does the paper clip have?
I turned letter G around a center. It no longer reads the same. How many . . .
Which of these shapes has the largest area?
How many of the B-labeled pieces are needed to cover the piece labeled R?
Which shapes have the same area?
Which triangle is the closest to the green line?
Which way is the shortest? 
How many cubes are there in the rectangular prism?
How many small cubes are visible in the picture?
Which shape has the largest number of sides?
Which shape contains the largest number of straight lines?
Which ball is the farthest from the center of the triangle?
How many squares are there in the picture?
Fifteen billiard balls of the same size fit into a triangular rack. Which . . .
If I cut the cardboard along the dashed lines, how many different shapes will I . . .
I saw a car's license plate in the rear-view mirror of my car. The picture . . .
Which spring has the largest number of coils?
How many times higher than the tree is the rainbow?
Which of these shapes has seven sides?
How many of the shapes have at least one right angle?
How many cubes are there?
Which two shapes do not intersect?
The middle of the ruler is 
What is the perimeter of the shape? 
Which of these shapes gives the largest area? 
Mrs. Johnson has a large piece of land (pictured here). She divided the land . . .
The diagram shows four sets of different geometric shapes. Which set has more . . .
Which green line segment is the longest?
Which of the following would complete the figure so that it becomes a . . .
A sculptor cut a corner of a cube. How many edges does the new shape have?
How many more triangles than squares are there in the picture?
Which road is the shortest?
What part has the smallest area?
If you move along the line, in what order do you meet the letters?
In the corners of what shape are the trees planted?
If I cut the piece of cheese along the red lines, how many pieces do I make?
What type of triangle is this?
How many beads can Jane add to the bracelet?
How many triangles are there in the picture?
How many cubes are there in my design?
What is the height of the pyramid?
Find the two that are the same. Find the twins.
How many red lines are there?
What is the volume of this object?
Which shape appears most often in the figure?
Which two shapes could be placed together to form the rectangle?
How big is angle X?
Kevin tried to make shapes with six sides. Which shape is not correct?
Which of these shapes has the same number of sides as the star?
In Australia, the usual size of a modern brick is 23 cm x 11 cm (length x . . .
How many of the letters in the Russian alphabet have more than one line of . . .
Which point on the ruler best represents 287 millimeters? ( The numbers on . . .
What is the fraction of boards painted in red?
What is this weight to the nearest 1kg?
Choose the bolt head design that can be easily turned with the household wrench.
I use different colors for areas that share a common line segment. What is . . .
Estimate the area of the colored figure. 
What two shapes share the longest border?
Which two rectangles fit together, without overlapping, to make a square?
Which shape is colored more than half in green?
How many small cubes are there?
Which figure has no sides the same length?
Look at the tile on the right. Which diagram below shows the tile after it . . .
What is the largest number of arrows pointing in the same direction?
How many faces does the shape have?
How many wooden matches are there in the picture?
Which figure is divided into 4 congruent shapes? Two figures are congruent if . . .
Which numbers are inside the square and inside the circle but not inside the . . .
How many more cubes does shape A have than shape B?
The street blocks on State Street have the same length. Which distance is . . .
Which shape has the largest area?
Which line segment is the smallest?
How many squares are there in the picture?
How many yellow tiles will fit into the gray shape without overlapping?
How many squares of any size are there in the picture?
Find X.
What is the greatest number of possible points of intersection of a circle and . . .
How many sides does the shape have?
Which shape has the largest number of sides?
Which shape has a smaller area?
The picture shows a solid cube. How many small cubes are used?
What shape has the smallest area?
How many 1x1x1 cubes can fit in the box?
How many parallel lines are there in the picture?
About how long is this string?
The picture shows a subway map. Which line has more stations?
How many balls are there in the pyramid?
Which set of bricks is less heavier?
How many sides does the fountain have?
Which line divides the circle into two equal parts?
Four squares of colored paper of the same size have been placed on top each . . .
How many balls touch exactly 6 other balls?
Gerry has a cube twelve inches on a side. If he cuts the cube into smaller . . .
Which of the shapes has the largest perimeter?
How many blue lines are there in the picture?
How many colored polygons are there in the picture? In elementary . . .
What is the greatest number?
How many squares of any size are in the picture?
Russia has an area of 17,075,200 square kilometers. Canada has an area of . . .
How many right angles are there?
Which shape has the smallest perimeter?
Which two line segments are parallel? 
Describe the colored area of the rectangle in terms of a fraction. Remember, . . .
How many triangles could you draw using any three of the five points as . . .
How many bricks are needed to build these walls?
Thomas has 24 meters of fence and wants to make a rectangular yard with the . . .
The letter 'A' is symmetrical. A symmetrical figure can be folded in half and . . .
Which part of the shape is green?
Find the perimeter of the shape.
What is the distance between the 2 arrows? Remember, there may be more than . . .
Which segment has a length of 8?
Find the midpoint coordinate of line segment AB
Which shape has at least 1 right angle? 
Which of these parts has the largest area? 
Find 2 shapes with equal perimeters.
Picture shows a plan of a square garden. The distance between apple trees is 5 . . .
Which figure can form a cube when folded on the dotted lines without . . .
What is the area of the shaded figure?
Which sides of the figure seem to be perpendicular?
Which group of figures CANNOT be made by cutting up the rectangle?
About how many more degrees must the temperature rise to reach 44 degrees?
Find the length of the white line in the middle of the corridor.
I assemble rectangles from colored squares. All the squares on the edges are . . .
Select the shape with the largest area.
In the picture, figures ABCDEF and UVWXYZ have the same shape and size. Which . . .
Which shape below has the same perimeter as the shape at the right?
Children launched 40 balloons. They found 20 balloons. The diagram shows . . .
A pentagon (from pente, which is Greek for the number 5) is any five-sided . . .
How many different tiles are there?
How many squares are there?
Which rectangle has the largest area?
Which letter in the word MATH has more than one line of symmetry?
Estimate how many red circles can be placed around the blue circle so that . . .
Which figure is divided into 4 congruent shapes? Two figures are congruent if . . .
What is the largest three-digit number that has both vertical and horizontal . . .
How many squares are there? 
How many cards are there in the picture?
The picture shows a sketch of a park. Which of the shapes below does not . . .
How many shaded squares are there in the picture?
Removing which square results in the decrease of the perimeter of the blue . . .
I cut four congruent triangles off the corners of a rectangle to make a . . .
How many boxes measuring
1 x 2 x 3 can be packed into a container measuring 3 . . .
What is the maximum length of the side of a cube that can fit in this box? . . .
I cut a square off of a corner of a colored square. What part of the initial . . .
How many blue circles are there in this picture?
An ant goes from point A to point B along the indicated path. How many times . . .
The net can be folded into a cube. Which letter is opposite the face marked . . .
The tower shown is made of cubes stacked on top of each other. Some of the . . .
How many lines appear in the picture?
About how long is this string?
How many small cubes were used to build this solid figure?
What part of the square is the largest?
What do you call a triangle with two equal sides?
What is the perimeter of the following figure with right angles?
How many cubes are there?
How many lines of symmetry do the snowflakes have?
How many colored polygons are there in the picture? In elementary . . .
The reservoir is 70 cm wide, 70 cm long and 50 cm high. The wall thickness is . . .
Please identify the largest area.
Please identify the largest area.
A wooden cube measures 10 cm on an edge. What is the greatest number of . . .
What is the area of the colored shape?
In the figure, each number represents the length of the nearest segment. All . . .
The figure shows a pentagon and its exterior angles. Find the sum of the . . .
Which of these shapes has the smallest area? 
What is the total number of lines of symmetry that can be drawn on the shape?
There are two points A and B on the grid. We want to plot two more points . . .
What is the area, in square units, of the polygon? 
An underground pipe drains water from a house. The pipe must drop 11 . . .
Is the dotted line a line of symmetry?
Anna and Bob are playing tic-tac-toe on their game board. The picture shows the . . .
If you look at this object from the front, what will you see?
The perimeter of the star is equal to the perimeter of the regular hexagon. . . .
A rectangular greeting card has an area of 330 cm2. One side of . . .
Green Tennis Club members are making a logo. The logo of the club is blue . . .
How can you go from A to B? Remember, there may be more than one correct . . .
Which angle measures more than a right angle?
Two triangles form a parallelogram with an area of 100 square meters. What is . . .
What is the approximate measure of this angle in degrees?
We will increase the height of the photograph to 22.5 cm while maintaining the . . .
Anna wraps ribbon around a present. She also needs 34 more centimeters (cm) of . . .
Which new figure can be formed by placing these triangles together?
Which two roads on this map appear to be parallel? 
A 7x7x7 cube is painted, and then cut into 1x1x1 cubes. How many of these . . .
What is the maximum number of boxes measuring 0.3m x 0.2m x 1m that can be . . .
Which arc comes from the larger circle?
In a 3 x 3 grid, there are 8 lines that contain at least 3 points. How many . . .
How many triangles are there?
How many different lines can you draw through point C, D, E and F that are . . .
How many squares of any size exist in the figure?
How many different lines can you draw through these five points?
The picture shows a regular polygon. Which line is parallel to the line AB?
The line is 0.25 millimeters thick and 8 kilometers long. What area does the . . .
Which of the following could be the graph showing the perimeter Y of a square . . .
John ate a share of a pizza and gave the other part to his friends Jim and . . .
Estimate how many times larger the red area is compared with the blue area.
I cut a triangle from a square piece of cardboard as shown in the picture. . . .
Find the top view of the figure.
The game Battleship (Battleships or Sea Battle) is a guessing game played by . . .
Find a pair of beads that are exactly the same distance apart as the length of . . .
Which shape has the smallest perimeter?
How many times larger than the area of letter T is the area of the square?
Which point is the closest to point A?
Which shape has the smallest area?
What two pieces will fit together perfectly to form the same shape as the . . .
I am using red and yellow tiles to make the pattern shown on the right. If I . . .
I drew a straight chalk line across the 8x8 chessboard. What is the largest . . .
I draw a line through each pair of the vertexes of a square. Into how many . . .
How many lines can you draw through these six points? Each line has to pass . . .
ISO (World Standard) drawing sizes are 841 x 1189 millimeters for A0 paper . . .
If I fold a square paper vertically, the new rectangle has an area of 32 square . . .
How many upper case letters look the same when rotated 180 degrees? Remember, . . .
Tim expands his rectangular-shaped garage. The garage is 5 meters wide and 7 . . .
How many of the small triangles would be needed to cover the trapezoid?
Which angle is the smallest?
Which shape below has the same perimeter as the shape at the right?
All angles are right and the lengths of the sides are given in miles in the . . .
Find the missing part.
Squares 1, 2, and 3 have sides of length 1, 2, and 3 units, respectively. . . .
How many small cubes were used to build this solid figure?
Which is true?
What is maximum number of times two equal hexagons can intersect?
What is the area of the squares (each division in the graph represents 1 mile)?
Estimate the ratio of areas of the two parts.
How many squares are there?
Find the sum of the angles.
How many small squares are needed to completely cover the surface of the green . . .
Can we use each of the four small shapes on the left exactly once to make the . . .
A shop owner installs a security camera on the ceiling of his shop. The camera . . .
Both triangles are isosceles. Which is the biggest?
What is the smallest?
Which two shapes have the same area?
What is the smallest?
Identify the surface area of the brick.
The shape is turned 270o clockwise, and then 45o . . .
A, B, and C are the midpoints of the sides of an equilateral triangle. Which . . .
The diagram shows two skateboard ramps. Are the ramps similar triangles? . . .
The ball is covered with different kinds of polygons. Find them.
The shape is to be reflected 3 times over the vertical line y and then reflected . . .
Find the value of X.
Add one square to this pattern to give it one line of symmetry. Find the . . .
How do the following planes intersect?
How much of the following figure is colored?
Find the number of lines of symmetry in a square.
John starts at point A and then follows the arrows. Where is the end of the . . .
Each square is 1 square unit. What is the area of the colored triangle?
Which shape can be made by placing together these two shapes? 
Two boys, starting at the same point, walk in opposite directions for X . . .
Which of the following nets will form a closed triangular prism? 
The city council plans to build a playground. The shape of the playground will . . .
The shape is composed of squares and isosceles triangles. What percentage of . . .
Four people start from the same point. A walks northwest at 1 km/h. B walks . . .
The picture shows two identical squares with sides that have a length of 1 . . .
For what X are triangles ABC and ADE similar?
Which is the closest to the value of the midpoint between 268 millimeters and . . .
If each small square in the grid to the right is 1 square unit, what is the . . .
A school garden is 4 m long and 3 m wide. How many bushes half a meter apart . . .
How many more lines must I draw to make a shape that has a line of symmetry? . . .
How many of the six faces of the die shown on the right have more than three . . .
The area of each square in the picture is one square unit. What is the area . . .
Which shape could appear as the overlapping of two identical squares?
How many different line segments connecting red and green points can be drawn? . . .
How many parts can I get if I cut the semi-ring shape using two straight cuts? 
What is the smallest number of additional squares that must be shaded so that . . .
How many pairs of beads are exactly the same distance apart as the length of . . .
For what X do the centers of the two circles coincide?
I cut a triangle off a corner of a square to make a pentagon. What is the . . .
The figure shows a triangle inside a square. What is the area of the colored . . .
What would this picture look like in a rearview mirror?
Find the area of the shape.
What is the maximum amount of Xs that you can you place on a Tic-tac-toe board . . .
I stack 64 cubes on my table and paint them without moving any. How many . . .
What fraction of the rectangle is shaded if A is the midpoint of the bottom . . .
How many squares contain the red dot?
The year was read the same the correct way up as upside down. When was the . . .
I divided a 3 x 4 square into 6 squares. What is the smallest number of . . .
What is the minimum number of matches that must be moved in order to obtain two . . .
A green cross is formed by placing two rectangles 8x4 over each other. What is . . .
How many squares of any size are there in the picture?
I can draw 2 diagonals in a square. How many diagonals can I draw in a . . .
Identify the shape with the largest perimeter.
Identify the ratio AB:BD.
What is the length of BC in the right-angled triangle? 
Which pair of angles in this figure have the same value?
There are 2 parallel lines in the figure. What is the value of angle x?
If each edge length of this shape is doubled, what will happen to its volume? 
A curtain covers a window as shown on the right. We approximate the area of . . .
Which one of the triangles is not always similar to the others?
Which angle is largest?
Which angle is the smallest?
Find the value of X.
Archery target faces have five colors, with each color divided into two parts . . .
Find the mirror line.
Find the center of rotation.
What is the size of angle X?
Which segment length is the smallest?
Which triangle has angles that appear to measure 40°, 60° and 80°?
Which figure can be rotated 60° about its center and have its final . . .
In the diagram, the radii of the two concentric circles are 5 and 10, . . .
In the diagram, triangle ABC is an isosceles. How many different angles are . . .
Ten cubes are glued together, and then the entire figure is painted. How . . .
The green area 'G' is 80% of the entire area of the rectangle. Find x.
If G is the total area of the green regular octagon and R is the total area of . . .
The figure shows a regular hexagon. What is the fraction of the area of the . . .
Which of the following cubes can be folded from this net? 
I strike a pool ball from corner A of the rectangular billiard table at an . . .
A cross-shaped lawn has a 1-meter wide path that surrounds it. Each side of . . .
The height of a cylinder is decreased by 10%, and the radius of the cylinder is . . .
Estimate the difference between the smallest and largest areas of the columns.
A net can be folded into a cube. Which of the faces is opposite the face . . .
Find the missing part. Remember, there may be more than one correct answer.
I place a digital clock on a mirror. The time 18:30 on the clock reads the . . .
Small blue squares have the same size. What share of the large square is . . .
Find the area of the triangle.
How many green triangles are needed to completely cover the square? 
How many blue T-shapes can be placed inside the 5x5 square without intersecting . . .
How many pairs of beads are at a distance apart which is smaller than the . . .
How many points exist where the rays intersect?
ABCD is a rectangle. E, F, G and H are midpoints of AO, BO, CO and DO . . .
A honey bee is walking from point A to point B along the indicated path. If . . .
What fraction of the square is red? 
Alex is framing a small flower box by four rectangular bricks. Each of the . . .
An ant goes from A to B along the indicated path in the equilateral triangle . . .
If the red area is five times smaller than the blue area, what is X? 
What is the ratio of the shaded area to the area of the big circle? 
What is the measure of the marked angle in the regular hexagon?
What is the angle between the hour hand and the minute hand at 14:20? 
In the city of Konigsberg there were seven bridges. There was a tradition to . . .
The circles are equally spaced. Find 2 regions of equal area. One of them is . . .
Find the perimeter of a square that consists of two rectangles with perimeters . . .
How many apples can I place, such that the distance from every apple to every . . .
What is the longest path?
One face of a rectangular box has an area of 15 square cm. Another face is 20 . . .
Which set of circles has the largest perimeter?
How many cubes can be removed from the tower without the top cube moving?
Two towers have the same height. Find the ratio of the width to the height . . .
If the area of the square is B and the area of the circle is C, what is the . . .
All three bridges have the same horizontal width a. Which bridge has the . . .
The figure shows a vertical cross-section of a road. Which part of the road . . .
Find the area of the red shape if the area of a small triangle is 1 square unit.
The 5 x 5 grid contains squares of different sizes from 1 x 1 to 5 x 5. How . . .
Compare the areas of the squares B and A.
A set of 119 one-unit wooden cubes is packed on one level in a rectangular . . .
What is the difference between the red area and the blue area if the numbers . . .
What fraction of the large square is shaded?
The border of this shape is composed of four semi-circles, each with a radius . . .
How many 4 cm by 4 cm squares can I obtain from a wire that is 100 cm long?
How many signs have a line of symmetry?
Find the number.
I want to cut the cross by two straight cuts to make the greatest number of . . .
An arrangement is formed by laying nine colored squares of the same size one . . .
I divided a 3 x 4 square into 6 squares. What is the smallest number of . . .
If the height of the tower is 88 mm, estimate the height of a tower that uses . . .
The sum of the perimeters of three rectangles of the same area is 192cm. What . . .
Divide the square into four equal shapes, so that each shape includes a circle. . . .
I spent 10 minutes to paint the upper part of the shape in blue. How much . . .
I cut two or three corners off an equilateral triangle, each cut being . . .
The picture shows a collection of squares. If the smallest squares have a side . . .
Find the area of the blue arrow.
Which shape could NOT be a cross section of a cone? 
The aquarium was full of water. A girl has tipped it on its side, so five . . .
Which fraction of this triangle is shaded?
A rectangular floor measures 3 meters by 9 meters. It is tiled with . . .
A sports club is replacing its water supply lines for a swimming pool. The . . .
John is building a flight of stairs. Each stair is the same size. What is . . .
Three corners of a square are A(1,4), B(4,6), and C(6,3). Where is the fourth . . .
How many red circles can be placed inside the blue circle without intersecting? 
Members of the Green Tennis Club are creating a logo. The logo of the club is . . .
Mr. Clever gave his students this pattern of gray tiles. Develop an equation . . .
Which side of this shape is 5 units long? 
A wheel with a red mark on it is rolled along a straight line. What is the . . .
The squares have side lengths of 2 and 4. Find the area of the colored . . .
The figure consists of congruent squares. The perimeter of the figure is 10 . . .
The figure shows a regular octagon. What is the area of the colored part as . . .
I want to build a fence around a rectangular garden. The garden has an area . . .
How many planes of symmetry does an Egyptian pyramid have?
Find the line that splits the area of the ten squares into two equal parts. . . .
The bigger star is similar to the smaller one. It is twice the height of the . . .
How many circles can be placed inside the square without intersecting each . . .
The area of the smallest square is 124 square meters. What is the area of . . .
Cut 1 cube into 8 pieces. One of the pieces is a cube whose volume is three . . .
Find two pairs of shapes that are exactly the same distance apart, where the . . .
You are at point A. You can only walk to the north or east. For example, . . .
The arrow top is at the midpoint of the edge of the rectangle. What fraction . . .
Each diagonal of a cube is increased by 50%. What was the percentage increase . . .
A and B are midpoints of the corresponding sides of the rectangle. What . . .
Every face of a cube has at least one white edge. What is the smallest . . .
A circle is inscribed in trapezoid. What is the minimum possible perimeter of . . .
The circumference of each circle is 24 meters. What is the perimeter of the . . .
John cuts a large piece of cheese into small pieces using straight cuts from a . . .
All triangles are inscribed in circles with a diameter of 1 meter. Find the . . .
What is the sum of the marked angles?
Four touching circles have the same radiuses. Their centers are the corners . . .
Two polygons are congruent if their corresponding sides are equal in length and . . .
I want to cut round bread into eight equal pieces. What is the smallest . . .
The diagram shows my square pond with a tree in each corner. How much can I . . .
How many colored four-unit shapes can be placed inside the 6x6 square without . . .
A solid is a cube with three tunnels drilled through it, as you can see in the . . .
Four matchsticks form a square. How many non-overlapping squares can be . . .
Ten acrobats are evenly spaced at a circus circular arena. Which acrobat is . . .
Six shapes can be fitted together with no gaps and no overlaps to form a . . .
I want to cut this shape into four pieces all of precisely the same size and . . .
What is the greatest number of possible points of intersection of three . . .
A rectangle floor 12 x 16 is covered by square tiles of sides 40 cm. A chalk . . .
The picture shows a regular pentagon and an equilateral triangle. How large . . .
The colored figure in the picture consists of identical isosceles right . . .
How many inner right angles are possible in a hexagon? 
What is the probability that a point chosen randomly from the interior of a . . .
Eight poles are evenly spaced on the circumference of a big circle. What is . . .
A quadrilateral with one pair of parallel sides is referred to as a trapezoid. . . .
Find the sum of the five marked angles of a star that is inscribed into a . . .
Find the angle between two diagonals drawn on two faces of the cube.
Which red piece can be put with the blue one to form a rectangle?
What is the area of the square? 
Calculate the area of the shape in small squares.
Estimate the size of the square if the circle diameter is 25 inches.
Which is the plan view of the 3-D shape?
What is the volume of the figure, if X = 4? 
The blocks of ice are of the same height. Which assembly melts slowest?
Anna takes a rope that is 24 ft long and creates a square. Bob takes the rope . . .
Cut the shape into two pieces and create a square from them. How many small . . .
Three equilateral triangles form seven unique regions. What is the maximum . . .
I increase the cube so that the diagonal AB doubles its original size. How . . .
All three pathways consist of semi-circles. Which pathway from A to B is the . . .
I have a cube with a volume of 1000 cm3. I make the length 20% . . .
Find the maximum area of a rectangle that has a perimeter of 36 m.
If we add all these vectors and place the start of the resulting vector at the . . .
What is the ratio of the reverse area of a dime to its circumference if its . . .
Estimate the percentage of the circle area compared with the square area. 
If I use 30 g of batter to make a crêpe of 30 cm in diameter, how much batter . . .
What is the surface area of the cube if its side length is 3 cm?
James the Mathematician just measured the angle of his piece of pizza, which is . . .
A solar power station includes 17,000 mirrors, each 60m2. What . . .
Dr Heidi has been called in as an expert to solve a problem. There is a device . . .
Find X.
This rectangle has an area of 1 square meter. What is the ratio of its width . . .
Marek, the pan-dimensional super being, has arbitrarily defined his current . . .
What is the perimeter of a regular hexagon that perfectly fits into a circle . . .
What is the greatest number of circles that can be placed around the central . . .
Anna has made puzzle pieces by cutting wedges from a disk. Each wedge cut from . . .
Sixty-four coins are melted down and recast as a single coin of the same . . .
The diameter of the rear wheel of a circus bike is 99 cm. It is 1 cm smaller . . .
Rectangle ABCD contains five small congruent rectangles. The smaller dimension . . .
A diagonal is a line joining two non-consecutive vertices of a polygon or . . .
Which fraction of the design is white?
How many lines of symmetry does a circle contain?
Shapes A and B are congruent equilateral triangles. Shape C is formed by . . .
The diagram illustrates a row of three squares formed by matches. How many . . .
A quadrilateral is any four-sided figure. How many quadrilaterals are there . . .
The big square has a side length of 1. Its sides' midpoints are connected to . . .
How many planes of symmetry does a brick have?
Two lines and two diagonals are drawn through the center of the rectangle. . . .
The Earth's diameter is 12,700 km. The horizon is 11 km from the top of a . . .
How many equilateral triangles can you create using six identical matches? . . .
Four towns are situated at the corners of a square. The government decided to . . .
What is the volume of the object?
How many squares can be placed inside the circle without intersection?
Which of the nets can be folded into a box with a red ribbon printed . . .
Egyptian pyramids are square pyramids. Which of the following nets can be . . .
The figure shows an example how a 3x4 net can be covered by L-shaped figures. . . .
A square is inscribed in a triangle. Find the length of the side of the . . .
The figure shows a regular hexagon. What is the area of the red part as a . . .
A semicircle is inscribed in the right
triangle. Find the radius of the . . .
A point of the square grid is chosen to form an isosceles triangle together . . .
What is the greatest number of possible points of intersection of four . . .
The smallest apple weighs 100 grams. The largest apple has a perimeter 10% . . .
I want to place together five identical shapes without overlapping them to form . . .
The left picture shows nine dots arranged in a 3 x 3 square. The dots are . . .
For what value of x is the ratio between the red and blue areas at its . . .
What fraction of the large equilateral triangle is colored?
Seven squares with side length of 1, 2, 2, 2, 3, 4, and 5 units can be fitted . . .
The area of the white cross is 20% of the area of the square flag. Five white . . .
A Heronian triangle is a triangle whose side lengths and area are all integer . . .
I arrange 10 points so that 3 lines each go through 4 points. I would like to . . .
What is the probability that a point chosen randomly from the interior of an . . .
What is the angle between the hour hand and the minute hand at 9:10 ?
I cut a pyramid from a brick as shown in the picture. What part of the brick . . .
What is the probability that a point chosen randomly from the interior of a . . .
A boy is making boxes from cardboard. He is going to cut square pieces off . . .
The American flag consists of thirteen equally spaced, horizontal red and white . . .
Connect 7 points on the circumference of a circle. What is the largest number . . .
How many triangles with a perimeter 8 units have all side lengths that are . . .
What is the volume of a right rectangular solid with face areas of
12, 21, and . . .
An aquarium has a water surface area of 10,000 cm2. I put a brick . . .
A piece of wire 75 cm in length is cut into two parts, one of them being 30 cm . . .
Estimate the ratio of the circumference c to the diameter of the circle . . .
Find the ratio of the areas of the large and small equilateral triangles.
I divided a 3 x 4 square into 6 squares. What is the smallest number of . . .
A wooden empty box weighs 80 pounds. How much will another box of the same . . .
There are 17 parallels and 12 meridians on a globe. Into how many areas is the . . .
What is the side view of the three-dimensional object?
Swiss village Saas-Fee is entirely pedestrian and serviced by electric taxis . . .
I want to wrap 30 wooden cubes. Which packaging uses the least package?
Gerry frequently goes from his home to Jane's house, which is 4 miles away. . . .
Triangle ABC is equilateral. What is the ratio of the red and blue areas if . . .
A team of archaeologists is exploring an underground complex on a remote . . .
A shop owner installs a security camera on the ceiling of his shop. The camera . . .
How many diagonals can I draw in an octagon? 
Two satellites orbit at 1/4 R above Earth's surface. R is the radius of the . . .
A mathematician wants to approximate the width of a lake. He places 5 markers . . .
What transformation creates an image with a vertex at the origin?
What is the area of the colored shape?
Angles A and C are equal to 90o. Which proportion is true?
Each interior angle of a regular polygon measures 144o. How many . . .
A square garden is 401 square meters. The minimum distance between apple . . .
If the Earth's radius is twice the radius of planet M, then how much bigger is . . .
Alex wants to arrange the cylinders from least to greatest volume. What is . . .
Which shape would be made if the two sections were fitted together?
Five boys Andrew, Brandon, Chris, Daniel, and Ethan live on State Street. At . . .
A boy cuts a cardboard circle and only cuts 5 straight lines. He does not . . .
How many planes of symmetry does a cube have?
The figure shows a pyramid made of small squares. I want to move the small . . .
The figure shows a regular pentagon. Compare the values of angles A and B.
Divide the analog watch face with two straight lines so that the sums of the . . .
Look at the mini-golf course. To what point would the player hit the golf . . .
How many interior right angles are possible in a polygon with seven sides? 
Bill mows the front lawn, which is a 7m by 10m rectangle. The mower cuts a 1m . . .
How many squares can be formed by joining four of these points on the . . .
If I tile a floor with 3000 regular hexagonal tiles as shown here how many . . .
Path C consists of straight segments. Path D and E consist of semi-circles. . . .
A circle is drawn through two vertices of a square so that it is tangent to . . .
I placed together four identical triangles and the square, without overlaps, to . . .
Compare areas F and G 
What is the sum of the marked angles?
Eight points are equally spaced on a circle. How many right angled triangles . . .
The picture shows six equilateral triangles. The sides of the triangles are . . .
The picture shows a tiling pattern which is made of square green tiles 10 x 10 . . .
What is the smallest number of segments that needs to be moved so that the . . .
All three circles are tangent to the horizontal line and to one another. The . . .
How many circles are needed to separate each star from all of the others?
I would like to cut the shape into the fewest possible pieces that will fit . . .
The vertices of the smaller square divide each side of the larger square by a . . .
I blew some air into a spherical balloon and quadrupled its surface area (4 . . .
Estimate the area of the largest equilateral triangle that can fit within a 1x1 . . .
Four matchsticks form a square. How many non-overlapping squares can be . . .
Guesstimation. How many tennis balls can fit in a school bus?
I arranged twelve one-inch wooden sticks in a polygon with an area of 6 square . . .
A boy stacked colored cubes in a square pyramid like the one shown here. The . . .
The figure shows a red equilateral triangle inscribed within another . . .
The three circles have fixed centers, and the diameter of a circle is 7 / 8 of . . .
For this rectangular solid, which plane(s) contain(s) C and is/are parallel to . . .
Two similar pyramids have volumes of 343 m3 and 64 m3. . . .
A square with a side length 20 has two vertices on the circle, and one side . . .
Two squares, each with sides measuring 2 cm, are placed such that a vertex of . . .
Two congruent circles share a radius. What is the perimeter of the figure . . .
What is the area of a garden? 
The large and small circles touch each other. What part of the large circle . . .
Estimate how long the rope is if its diameter is 1 cm.
Find the ratio of the areas of the large and small squares.
What is the largest possible side size of an equilateral triangle that fits . . .
The hypotenuse of a right triangle is 6, and the length of one leg is 2 units . . .
What part of the rectangle is red if points A and B are the midpoints of the . . .
How many lines can be drawn in a plane so that they are equidistant from 3 . . .
Three overlapping squares form 5 squares including themselves in the picture. . . .
You have a 5kg weight and a 12kg weight. They are the same height and are . . .
Estimate the maximum number of smaller 1-inch circles that fit in a larger . . .
Which pyramid has the largest volume?
Find the area of the colored rectangle.
Which line goes through the center of the circle?
What is the sum of the interior angles B and D of the pentagon if three other . . .
If I picked three red points, each in the middle of a different side of the big . . .
A large rectangle of perimeter 44 is divided into 10 congruent rectangles. . . .
Find the area of the shaded region (in square units).
A wire is wound around a circular rod. The wire goes exactly 5 times around . . .
Which is the best estimate of the area of the colored shape?
These two shapes are similar. What is the length of x?
Identify the area of the rounded square.
A six-pointed regular star consists of two areas. What is the ratio of the . . .
The side of the colored square is x cm. What is the area of the red . . .
L3 and L4 are two parallel lines in a plane. If L3 has 3 points equally . . .
What is the total number of lines of tangency that are common to circle C1 and . . .
AB is parallel to CD. What is the value of X?
There are 2 identical circles. Circle A remains fixed, while Circle B makes 1 . . .
G is the area of the green region inside the biggest circle. R is the total . . .
The area of the external triangle is equal to 1. Its sides' midpoints are . . .
The pattern of shading in one quarter of a square is shown in the diagram. . . .
What is the maximum number of squares you can make using twelve identical . . .
A gardener has to reach the island in the middle of a pond without getting wet. . . .
Three reservoirs have the same height h=1. Which reservoir is bigger?
What is the largest semi-circle that can be inscribed in a square with a side . . .
Twenty matchsticks form five squares (one 3x3 and four 1x1). How many . . .
A ladder leans against a vertical wall. The top of the ladder is 4m above the . . .
If the length of the hour and minute hand of a clock are 3cm and 6cm . . .
All inner lines connect the corners of the big square and the midpoints of the . . .
A square is inscribed in a right triangle. Find the greatest possible ratio . . .
What value of X gives the greatest ratio of red area to the area of the big . . .
The sizes of the sealed bottle with water are shown in the figure. Find the . . .
How many equilateral triangles can you make using six identical line segments? 
The following pattern is cut and folded to a square-based pyramid. What size . . .
John is using the spinner shown here to define the movement. Blue means one . . .
What is the ratio of the green area to the red area?
Four squares have dimensions as indicated in the picture. What is the area . . .
Two lines trisect (divide into three equal parts) each side of the polygon . . .
The shaded rhombus is formed by joining vertices of the square to the midpoints . . .
The diagram shows 15 billiard balls that fit exactly inside a triangular rack. . . .
The picture shows the areas of three rectangles. What is the area of the . . .
Two triangles form seven separate regions. What is the greatest number of . . .
There are six ways to travel from point S to point F on a small cube if only . . .
Estimate the area of the smallest square that can enclose the regular hexagon . . .
A, B, and C are squares with sides of length 1; D, E, and F are isosceles . . .
I drew three lines from the center of a square that has sides with a length of . . .
Each of these five circles is tangent to at least 3 others. The medium sized . . .
Find the radius of the circle.
In a city, there were seven bridges. There was a tradition that a newly . . .
A sphere fits inside a cube. The maximum possible ratio of the volume of the . . .
I want to cut a wooden cube that is five inches on each side into 125 one-inch . . .
What line divides the green polygon into two parts of equal area?
What is the volume of the second glass compared to the first one?
I take a map of the city where I live and lay it on my table. There is a . . .
I connected the midpoints of a polygon and constructed a new polygon that was a . . .
I need 1 + 9 + 25 = 35 cubes to build a pyramid with a height of 3 cubes. . . .
Inspired by Boris Kordemsky. Four Knights problem: Cut the chessboard into . . .
How many 1x1 squares fit into the large square with the side length 4.8? . . .
The picture shows three squares with the side lengths of 10, 8, and 4 cm. What . . .
A trapezoid is formed by cutting off the top part of an isosceles right . . .
If regular stars are placed as shown to form a complete circle, how many stars . . .
What fraction of this regular octagon is shaded?
A circle goes through two adjacent vertices of a square and it is tangent to . . .
The figure shows adjacent squares. Find the sum of angles X and Y.
What is the probability of breaking a stick into three pieces and forming a . . .
Which triangle has the greatest area?
Which is a better fit? The smaller the percentage of the ‘area left over,’ . . .
Two perpendicular lines form four segments with lengths a, b, c, and d. . . .
The size of an NBA basketball court is about 29 by 16 meters. How many . . .
How many pentagons are there?
The golden border of the hexagonal brooch with maximum size 60 mm includes a . . .
The numbers show the areas of corresponding triangles. What is the area of . . .
The picture shows a large cube 4 x 4 x 4 that was assembled from one-unit . . .
What is the largest number of straight lines you can draw through 9 points, so . . .
Gerry has 24 meters of fence and wants to make a rectangular garden with the . . .
Find X.
Take two sheets of A4 paper (210 x 297 millimeters or 8.3 x 11.7 inch). Roll . . .
There are two paths in a rectangular garden. Find the length of the shorter . . .
What is the largest distance if the angle B is right?
Three semicircles are constructed on the hypotenuse and legs of a right angle . . .
There are 3 circles of equal diameter. A line is tangent to the third circle, . . .