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Five percent of the marbles in a jar are black. One fourth of the marbles . . .
The figure shows a regular pentagon. Compare the values of angles A and B.
G is the area of the green region inside the biggest circle. R is the total . . .
1. At least 1 of these 6 statements is false 2. At least 2 of these 6 . . .
I roll two dice. What is the probability that the second number is greater . . .
Three reservoirs have the same height h=1. Which reservoir is bigger?
A square is inscribed in a right triangle. Find the greatest possible ratio . . .
The figure shows a regular hexagon. What is the area of the red part as a . . .
A and B are midpoints of the corresponding sides of the rectangle. What . . .
The probability that two randomly chosen people in a big city are younger than . . .
If y is the fraction of the white area of the square, which graph shows the y . . .
How many integer values of x are the solutions of these two inequalities?
If 12 workers take 7 hours to build a brick wall 21 m long and 4 m high, how . . .
Find the point of intersection of these two lines.
Which equation represents the axis of symmetry of the graph of the parabola?
Three points of four are on a line. Which point is not on the line?
A restaurant sells a 30 cm (in diameter) pizza for $9, while their large 40 cm . . .
What is the ratio of the green area to the red area?
Statistics at statemaster.com shows the numbers of elementary and secondary . . .
How many different lines can you draw through N points that are evenly spaced . . .
What is the least positive integer n such that 1 + 2 + . . . + n > 999
What is the sum of the marked angles?
You can purchase or rent a car. The car is available at a rental fee of $250 . . .
What number divided by 1001 is the same as that number minus 1001?
One apple and one banana together cost $3. One apple and one carrot together . . .
In a football tournament every team plays a match against every other team . . .
What number is greater than 9/10 and smaller than 10/11?
Anna earned an average of 80% on her four exams. If she never earned more . . .
I drew three lines from the center of a square that has sides with a length of . . .
What is the difference between the sum of the first 2012 even positive numbers . . .
I sold two cars and received sixty thousand dollars for each car. I received . . .
In a casino on a Sunday, 90% of the visitors lost $100 each, 9% of the . . .
I blew some air into a spherical balloon and quadrupled its surface area (4 . . .
John answered 100 4-option multiple-choice questions. He is sure that he . . .
San Jose Scrabblereg; Club No. 21 published a three-letter word list that . . .
The Venn diagram shows the result of a survey of 80 students. It indicates . . .
A total of 321 employees work for company XYZ and two thirds of them are men. . . .
I arranged eight wooden sticks in the shape of a fish. What is the minimum . . .
Several plumbers work on a pipeline installation, which 1 plumber is able to . . .
Bob is paid $5,000 a month for his regular job. During Summer holidays, he . . .
John sent an email to his three partners. Everybody answered and copied the . . .
The business of company A is 10% greater than the business of company B now. . . .
Which function gives the angle in degrees between the hour and the minute hands . . .
What is the probability that two dominoes drawn randomly from a standard set . . .
The average (arithmetic mean) of a set of 10 different numbers is 98. If the . . .
Many people stand in a line (queue) to buy tickets to a match. There are . . .
An arrow rotates 372° in one second. How many revolutions does it make in . . .
The American flag consists of thirteen equally spaced, horizontal red and white . . .
John works 5-hour shifts at a call center. He earns $5 per hour and $5 per . . .
Mr. Smith can read 1 page in 2 minutes. His wife can read 2 pages in 3 minutes. . . .
John's dad pays him $2 for each correct answer he gives in his math homework . . .
Which point is on the axis of symmetry of the graph of the parabola?
A real estate agent receives a 5% commission on the selling price of a house . . .
John is sick 12 days per year. The probability of being sick on a Saturday or . . .
Abbey has a dog Abby. She places 5 tiles with the letters of her surname into . . .
A girl is 12 years old. She is three times older than her dog. In how many . . .
Multiply the largest two-digit number by the smallest two-digit number and add . . .
You can purchase or rent a car. The car is available at a rental fee of $250 . . .
Nine teams enter a basketball tournament. Each team plays one match against . . .
I sold two cars and received thirty thousand dollars for each car. I received . . .
A flower shopkeeper works 6 days per week and sells four times more flowers on . . .
A 300-dollar stock loses $50 of its value for a week. What percent of . . .
Several students want to rent a car for the next weekend. If each contributes . . .
This picture shows the first five rows of Pascal's triangle. What is the sum . . .
The picture shows a simplified statement of income for company ABC in millions. . . .
What is the average of the first 2016 counting numbers? Counting numbers (1, . . .
What is the largest number of intersections of N lines?
Find the infinite sum: 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + . . .
A man eats 20 coconuts in 20 days. Together with his wife, they eat the same . . .
Find the sum of the first 100 odd positive numbers: 1 + 3 + . . .
A basket full of coconuts weighs 39kg. A half-full basket weighs 21kg. How . . .
In the United States, the average life span is 65 years and the average female . . .
In a country, a baby is born every 5 seconds, a person dies every 45 seconds, . . .
In a girls' school with 880 students, there are 33 absent. What is the . . .
A frog ate 20 flies in a day. Each day, the frog ate 20 more than on the day . . .
The average age of all teachers and students in a school is 15. The average . . .
A concert includes 3 cello pieces and 3 piano pieces. In how many ways can . . .
The pie chart represents the results of an election. The least lucky . . .
If the admittance rate to a prestigious university is 7.5% and 810 students . . .
A tree increases its number of nuts at the rate of 100% every year. What was . . .
What amount of water should be added to reduce 200 milliliters of 5 percent fat . . .
The speed of a bus is 25 miles per hour (mph) including stops and 40 mph . . .
One pipe can empty a pool 5 times faster than a second pipe. When both pipes . . .
Anna and Bill roll a six-sided die. The first person to roll a six wins. Anna . . .
Evguenia walked to school. Twelve minutes after she left, Sasha started. His . . .
If regular stars are placed as shown to form a complete circle, how many stars . . .
A dog chases a rabbit, which was initially 20 meters away. For every 11 meters . . .
Two trains, each 400 meters long, pass each other completely in 10 seconds when . . .
Two congruent circles share a radius. What is the perimeter of the figure . . .
What fraction of this regular octagon is shaded?
Jim paints 1/6 in an hour and John paints 1/4 in an hour. How much time will . . .
In a city, three-quarters of the men are married to four-fifths of the women. . . .
The symbol N! denotes the product of the first N positive integers. Find the . . .
Mr. Rapid always starts driving on a road at exactly 7:00 a.m. If he drives on . . .
A theater sells 150 tickets for a total of $2010. Children's tickets are sold . . .
A group of 24 scouts goes on a trip. They prepare enough food to last 10 days. . . .
All three pathways consist of semi-circles. Which pathway from A to B is the . . .
How many 4 cm by 4 cm squares can I obtain from a wire that is 100 cm long?
In a recent election, 1111 people voted for two parties. If the ratio of the . . .
There are N students in a class and only 8 of them are girls. If 11 boys . . .
Metro Card prices: a single ride is $2.5 and a 7-day Metro Card costs $29. . . .
At the beginning, the girl rode 6 km in the first 15 minutes and then 4 km in . . .
A revolving door with three wings makes 5 complete rotations in a minute. . . .
One number is 200% greater than the other and their difference is 20. What is . . .
In a class, 7 students walk to school, two fifths ride the bus, and 32% are . . .
If the average of a set of integers is 3 and their sum is 123, how many numbers . . .
Working alone, Mr. Smith earns the family's monthly budget in 40 calendar days. . . .
If the sum of three distinct positive integers is 33, what is the maximum . . .
Successive discounts of 50% and 50% are equivalent to a single discount that is
The rear tires of my car wear out after 40,000 miles, whilst the front tires . . .
At a business meeting, each shakes hands with 7 other people. If there are 56 . . .
X
^{2}
= 4004001 Find X without using a calculator.
Two consecutive positive integers have a product of 240. What is their sum?
An outlet pipe can drain a full pool in 12 hours. An inlet pipe can fill the . . .
Find the maximum area of a rectangle that has a perimeter of 36 m.
The heights of the masts from the first to the fifth are 32 m, 36 m, 35 m, 32 . . .
Estimate the total you pay if the meal costs $29, the tax is 5%, and the tip is . . .
After a 20% discount and 8% tax, a set of tin solders costs $540. What was . . .
When 22 is added to a secret number, the result is three times more than the . . .
80% of the women in company A are under 25 years old, 40% of the men in the . . .
If Mark had driven at 6 miles per hour (mph) faster than the state speed limit . . .
Students at a school are on average 165 cm tall. The average male student . . .
There are 190 people in a company including the project managers and CEO. . . .
There are 14,600,000 tiles on the roofs of the old Swiss town of Murten. How . . .
A swimming school costs $129 a month, but costs $1,390 annually if you pay the . . .
The hypotenuse of a right triangle is 6, and the length of one leg is 2 units . . .
Which of the following sales commissions is greatest?
I decided to save a dollar in January, then increase the amount by one dollar . . .
The State Tennis tournament starts with 128 players. How many rounds must be . . .
On a trip, Evguenia cycled 5 km in the first 15 minutes and then 4 km in the . . .
John has an average of 60 marks on his first Math tests. He missed the last . . .
What is the largest result that can be achieved if different letters in the . . .
What is the smallest result that can be achieved? AB6 + BC7 Different . . .
How many planes of symmetry does the shape have?
A girl rides her bike 4 km in 15 minutes. How long will it take her to ride 15 . . .
What is the average (arithmetic mean) of all the multiples of ten from 10 to . . .
A solid metal ball weighs 9 pounds. How much will another ball of the same . . .
A 3 by 4 rectangle is contained within a circle. What is the smallest . . .
What part of the rectangle is red if points A and B are the midpoints of the . . .
How many three digit numbers are evenly divisible by 17 (no remainder)?
I see the reflection of the mountain peak 10 meters from me. I know that the . . .
John sees the reflection of the treetop in a mirror. Find the height of the . . .
What is the sum of the squares of the whole numbers from 1 to 10?
What is the sum of the cubes of the whole numbers from 1 to 5?
A circle of radius 3 is drawn centered at the origin. How many squares of . . .
Jim can eat a 10-inch pizza in 16 minutes. How long will it take for Jim to . . .
In selling stock, John made a profit of 19% of the amount originally paid for . . .
An entrepreneur sells 1,250 tickets for a show, with 20% of them sold with 20% . . .
A class was given a math problem with four options as the answer. Ten students . . .
A girl caught her first fish after 30 minutes of waiting. She caught each next . . .
The difference of two positive integers is equal to their average. What is . . .
The price of a computer after discount was $992. If the discount was 20%, . . .
Sixteen teams enter a football tournament. Each team plays one match against . . .
If we add all these vectors and place the start of the resulting vector at the . . .
A tennis ball keeps on bouncing back to half of the height from which it is . . .
Estimate the probability that no two of four sisters were born in the same day . . .
A man and his beloved wife carry a 20kg basket. If the lady carries only 8kg, . . .
A space rocket with 4 engines blew off one of them after one-month of flight. . . .
One bag contains two white marbles, another bag contains two black marbles, and . . .
What is the minimum monthly salary you negotiate with your boss if you need . . .
A school offers the following dinner choices: First course: soup or small . . .
A rectangular yard with an area of 24 m
^{2}
has sides in the ratio 2:3. . . .
What is the value of 2014 x 2014 - 2012 x 2016?
Would you rather sit in a traffic jam for . . .
What is the minimum number of pizzas that a class of 21 students should buy if . . .
Which triangle has the greatest area?
John and Mary, whose average annual income is $110,000, have just moved from . . .
Once upon a time, there were three little pigs. If two brothers weighed 45kg, . . .
Tickets for a football game are available for $29 in advance or $39 if . . .
What is the maximum number of points of intersection of five distinct straight . . .
The sum of the integers from 1 to 2,000 inclusive is 2,001,000. What is the . . .
In a test of 50 questions, the final score is calculated by subtracting three . . .
The average IQ of 10 students is 101. If nine of these students each have an . . .
What is the total surface area of 100 identical cubes which together have a . . .
What is the total surface area of 28 identical cubes which together have a . . .
Americans measure the temperature in
^{o}
F. Europeans measure the . . .
You have a 5kg weight and a 12kg weight. They are the same height and are . . .
In a summer camp, the ratio of people was 11 : 12 : 15 for instructors, boys, . . .
John and Mary borrow $3,000 to pay for new furniture. They will pay back the . . .
My car can travel 20 km on one liter of gas on the motorway and 12 km on one . . .
John starts a taxi business and rents a car for $77 per day. The rent . . .
Gerry plans to swim a total of at least 1000 laps in January. He swims every . . .
Mrs. Smith puts $10,000 into a saving account that earns 2% interest compounded . . .
Gerry drove 210 miles from home to his college and used 14 gallons of gasoline. . . .
A car traveling with speed 12 meters per second decelerates uniformly until it . . .
The golden border of the hexagonal brooch with maximum size 60 mm includes a . . .
If the first President of the USA George Washington took office in 1789 and the . . .
Find X.
The balance is in equilibrium. Find Z.
Find the first of the four consecutive integer numbers if their sum is -66.
Estimate the percentage of the circle area compared with the square area.
If each coconut is priced at $9, then the shopkeeper loses $11. If each . . .
Each week, Mrs. Smith gives her students as many worksheets as their age. For . . .
A 512-page book weighs 800g to the nearest 10g. What is the weight of 200 . . .
The knights gallop 100 m in 10 seconds. There are 1000 m in 1 km. Would the . . .
Which is correct?
January 1st, 2014 was a Wednesday. How many Sundays occurred in 2014? 2014 . . .
When 4 coins are tossed, what is the probability that exactly 2 are heads?
If a real estate agent received $60,000 as a 5% commission on the selling price . . .
Bob's age is between 40 and 60 and it is a multiple of 5. Next year, his age . . .
If I use 30 g of batter to make a crêpe of 30 cm in diameter, how much batter . . .
The sum of N consecutive integers is S. Which of the following equations gives . . .
Two successive increases of 25% and 25% are followed by two successive . . .
A driver's eyes are about 1.3 m above the ground, while the hood is 2 m in . . .
Veryfast Airlines loses 20% of the luggage. Gerry puts his three favorite toys . . .
At the end of each week, Gerry forgot 50% of what he knew the week before. At . . .
After an hour, Evguenia catches and frees 10 fish. If there are 100 fish in a . . .
Gerry drives to Jane's house at 60 miles per hour and comes back at 40 miles . . .
The 136 sixth graders and their 8 teachers will be taking a trip together. . . .
I decided to use a password that includes 4 different numbers, with each number . . .
Gerry bought 3 oranges and 8 apples for $5. The next week he bought 8 oranges . . .
Anika solves 10 problems, 80% of them correctly, in 20 minutes. James solves . . .
Gerry drives from his home to Jane's house at 50 mph. How fast must he make . . .
James has scored an average of 10 on his first 10 tests. What score should he . . .
Figure out without using a calculator which product is greater:
If half of five pizzas costs $30, what would a third of eight cost?
A district sends, on average, a total of 200 million gallons of water each . . .
A waiter receives 15% tips from each table in a restaurant. What is the . . .
What is the perimeter of a right triangle whose shorter sides are 9 and 12 . . .
A family of seven have eaten 84 pancakes and 35 pancakes are left in the . . .
When Jane plays against Gerry in her favorite game, the odds are 5 to 3 that . . .
The sum of 11 consecutive integer numbers is 11. What is the largest number?
What is the product of all whole numbers from -99 to 99?
The product of 33 positive integers is 33. What is the sum of the numbers?
The product of two numbers is 119 and their difference is 10. What is the sum . . .
A bus can hold 66 students. The bus starts out empty and picks up 1 student at . . .
A third of 8 is $4. Based on that proportion, what is one-fifth of 6?
Gerry and Jane are exactly 100 km apart. Gerry leaves his place running at 10 . . .
The average of 99 consecutive numbers is 99. What is the average of the nine . . .
How many ways can five runners take first, second, and third place in a . . .
A train runs from Lausanne to Zurich at 100 km/hour without any stops and . . .
Which line goes through the center of the circle?