One pack of pencils has 4 pencils.
Two other packs have 11 pencils each.
What is the total number of pencils in these three packs?
One pack of pencils has 4 pencils.
Two other packs have 11 pencils each.
What is the total number of pencils in these three packs?
The symbol '>' means 'is greater than'.
The symbol '<' means 'is less than'.
If the open sentences on the right are true, which open sentence below is also true?
Mrs. Johnson is placing apples on shelves, as shown here.
Estimate the total number of apples she can fit on the two shelves.
Anna hung 3 photographs in a line.
Photographs that are hung next to each other share a tack.
How many tacks are needed to hang 21 photographs this way?
Each of four children has a photo.
Anna and Bill's photos show water.
Only Cindy and Bill's photos show a man.
Which photograph belongs to David?
Start from the red circle.
First go 1 block north, then go 2 blocks east, then go 3 blocks south, and finally go 4 blocks west.
Where do you end up?
The Smith family went on a horseback trip.
All together, there were 48 legs.
How many people were on the trip?
Anna's desk is in the third row from the front and the second row from the back of the classroom.
The desks in the classroom are lined up in straight rows.
Her desk is also the third from the left and the first from the right.
How many students' desks are there?
The book has 123 pages.
Bill has read 45 pages.
How many pages does Bill have to read to finish his book?
Add the adjacent numbers together and write their sum in the block above them.
What is the number at the top of the pyramid?
How many correct answers are there to this question?
Remember, there may be more than one correct answer.
Choose the greatest number.
What is the lowest number of chain links that must be opened and closed to join the pieces shown on the right into a circular chain?
The diagram shows all of the results of a six-person contest.
An arrow pointing from one player to another means that the first player defeated the second player in their match.
Each match always gives a winner and a loser (no draws).
Who played the smallest number of matches?
If each row and each column of the square must contain exactly one triangle, circle, pentagon, and rhombus, which shape must be placed in the empty space?
John bought twice as many fish as his dad.
If they bought a total of six fish, how many fish did John buy?
One pack of pencils has 17 pencils.
Another pack has 31 pencils.
How many more pencils are in the second pack?
One pack of pencils has 9 pencils.
Another pack has 31 pencils.
How many more pencils are in the second pack?
One pack of pencils has 6 pencils.
Two other packs have 17 pencils each.
What is the total number of pencils in these three packs?
One pack of pencils has 5 pencils.
Two other packs have 16 pencils each.
What is the total number of pencils in these three packs?
Anna hung 3 photographs in a line.
Photographs that are hung next to each other share a tack.
How many tacks are needed to hang 44 photographs this way?
Anna, Bill, Cindy, and David show their photos. Each of four children has a photo.
Anna and Bill's photos show water.
Cindy and Bill's photos don't show people.
Which photograph belongs to David?
Start from the red circle.
First go 2 blocks north, then go 1 block east, then go 4 blocks south, and finally go 2 blocks west.
Where do you end up?
The Smith family went on a horseback trip.
All together, there were 42 legs.
How many people were on the trip?
The Smith family went on a horseback trip.
All together, there were 30 legs.
How many people were on the trip?
The book has 123 pages.
Bill has read 48 pages.
How many pages does Bill have to read to finish his book?
There are four more girls than boys in a class.
There are twenty six students in all.
How many boys are in the class?
Henrietta the Hen lays eggs this week.
There are more than 3 eggs.
There are fewer than 6 eggs.
There are not 4 eggs.
How many eggs does Henrietta lay?
A farmer has 8 sheep.
He buys two times more than he originally had.
How many sheep does he have now?
At the next stop, 3 students get off while 5 get on.
If initially there were 4 students in the bus, how many students are there in the bus now?
In a basketball tournament, there are 7 teams.
Each of the teams plays two matches with every other team.
The top qualified two teams play one game in the playoff.
How many matches does the winner play?
Each table in a restaurant seats four people.
How many tables do you need to reserve for a party of 17 people?
Mr. Happy has 4 daughters.
Each of his daughters has two brothers.
How many children does Mr. Happy have?
The Smiths have four daughters.
Every daughter has exactly three brothers.
How many people are there in the family?
We come off at exit 42 and we have just passed exit 38.
The exits are 6 minutes apart.
When will we take the exit?
Jane started eating a candy per day on Monday. She never missed the opportunity.
When did she eat the last candy?
What is the main difference between the pictures on the left page and on the right page?
The problem is similar to 100 Bongard Problems on visual pattern recognition.
Gerry scored 10 points during a basketball game.
What is the largest number of 3-point throws he might have made?
Points in basketball can be accumulated by making field goals (two or three points) or free throws (one point). If a player makes a field goal from within the three-point line, the player scores two points.
In a village, there are 80 people, 46 of them are women or girls.
How many boys and men live in the village?
Jan and Gerry together eat 6 apples every day.
In how many days do they eat 24 apples from the tree?
Jane had six apples. All but a third were given to Gerry. Then she ate one.
How many did she have left?
Gerry dries grapes and gets 1 kilogram of raisins out of 5 kilograms of grapes.
How many kilograms of grapes are needed to get 5 kilograms of raisins?
What is the largest number of crosses you can place on a 4 x 4 board without making four-in-a-line in any direction (left-right, up-down, or diagonal)?
What is the minimum number of swaps of any two adjacent letters needed to convert the word WEIRD into the word WIRED?
Jane is saving up for books. She puts 3 dollars in her piggy bank every Tuesday and Thursday.
How much will she save up in February?
It takes 4 minutes to boil an egg.
If you can boil only 3 eggs at the same time, how long does it take to boil ten eggs?
Mr. and Mrs. Smith have three daughters and four sons.
At Easter time, each member of the family buys one chocolate Easter egg for each of the others.
How many Easter eggs will be bought in total?
Jane wants to set a knife on the right side of each plate and a fork on the left side.
How many interchanges of a knife and a fork does she need to make?
Gerry had $33 on Monday.
On Tuesday he had $27 and on Wednesday he had $21.
How much money will he have on Friday?
Gerry holds several tickets for a concert.
If his ticket is the 4th from the bottom and 3rd from the top, how many tickets does he hold?
Martin has 3 piles of gold coins.
There are 10 coins in the first pile.
There are 15 coins in the second pile.
There are 20 coins in the third pile.
If Martin shares the coins among 5 people, how many coins does each person get?
On an island, there are only green lizards and non-poisonous small snakes.
If there are 100 legs and 100 tails in total, how many snakes are there?
What fraction of these animals are dogs? 
Eugenia turned 9 in 2007. 
How many letters are there in the correct answer to this question?
How many cells show a number greater than 5?
How many 3-digit numbers can you make using 1 and 2 ? 
How many dots in the next pattern in the sequence?
John and Jim are twins. 
What is the lowest number of rings that must be opened to separate all of them?
In one trip a car can take 7 people. 
How many triangular areas are there in the picture?
Eugenia turned 13 in 2012. 
How many pineapples are needed to produce 6 glasses of juice?
How many letters are there in the word that is always spelled wrong?
From which state does the vehicle registration plate include the characters 4 and H?
Which city name contains the greatest number of letters?
The calculation is correct. 
If my age 8 years ago was 8, what will my age be 8 years from now?
876 passengers are in the train station. 159 get on a train. 
How many ropes are there in the picture if you see all of their ends?
Jane is shorter than Betty. 
Grandfather is to grandmother as uncle is to:
There are eight letters in these two words.