question stringlengths 17 149 | answer stringlengths 1 6 | subject stringclasses 6
values | difficulty stringclasses 2
values |
|---|---|---|---|
A 200 m long train travels at 25 m/s. How many seconds does it take to pass a pole? | 8 | Arithmetic | medium |
Two cars start at the same time and drive toward each other from towns 300 km apart, at 60 km/h and 40 km/h. After how many hours will they meet? | 3 | Arithmetic | medium |
How many trailing zeros does 30! have? | 7 | Number Theory | medium |
What is the sum of the roots of x^2 - 9x + 14 = 0? | 9 | Algebra | easy |
How many positive divisors does 72 have? | 12 | Number Theory | medium |
An isosceles right triangle has hypotenuse of length 8√2. What is the length of each leg? | 8 | Geometry | medium |
Solve for y: 3(y + 4) = 2y + 19. | 7 | Algebra | easy |
Two fair coins are flipped. What is the probability that both show heads? | 1/4 | Probability | easy |
After a 25% discount, a jacket costs $45. What was the original price in dollars? | 60 | Arithmetic | medium |
If 2^x = 128, what is x? | 7 | Algebra | easy |
What is the 10th term of the arithmetic sequence 3, 7, 11, ...? | 39 | Algebra | easy |
What is the product of the roots of 2x^2 - 8x + 6 = 0? | 3 | Algebra | medium |
What is the distance between the points (1, 2) and (7, 10)? | 10 | Geometry | easy |
What is the midpoint of the segment with endpoints (-4, 6) and (8, -2)? | (2, 2) | Geometry | medium |
What is the expected value of a single roll of a fair six-sided die? | 3.5 | Probability | medium |
A triangle has base 14 and height 9. What is its area? | 63 | Geometry | easy |
A square has a diagonal of length 10. What is its area? | 50 | Geometry | medium |
What is the remainder when 7^2023 is divided by 10? | 3 | Number Theory | medium |
What is the value of 1 + 2 + 3 + ... + 100? | 5050 | Number Theory | easy |
Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. Working together, how many hours do they need to fill the tank? | 4 | Algebra | medium |
What is the smallest positive integer n that leaves a remainder of 2 when divided by 3 and a remainder of 3 when divided by 4? | 11 | Number Theory | medium |
Divide 91 into two parts in the ratio 4:9. What is the larger part? | 63 | Arithmetic | medium |
What is the remainder when 7^2023 is divided by 5? | 3 | Number Theory | medium |
What is tan 45 degrees? | 1 | Geometry | easy |
What is the value of (3^4 x 3^5) / 3^6? | 27 | Algebra | medium |
A right triangle has legs of length 9 and 12. What is the length of the hypotenuse? | 15 | Geometry | easy |
What is the value of floor(17/3)? | 5 | Number Theory | easy |
What is the least common multiple of 12 and 18? | 36 | Number Theory | easy |
If f(x) = x^2 + 1 and g(x) = 2x, what is f(g(3))? | 37 | Algebra | medium |
A two-digit number has digits that sum to 9. Reversing its digits increases the number by 27. What is the number? | 36 | Algebra | medium |
If 3x + y = 23 and x - y = 5, what is the value of 2x? | 14 | Algebra | medium |
A trapezoid has parallel sides of length 10 and 16 and height 6. What is its area? | 78 | Geometry | medium |
How many distinct arrangements are there of the letters of the word CAT? | 6 | Counting | easy |
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repeating any digit? | 120 | Counting | medium |
What is the sum of the first 20 terms of the arithmetic sequence 2, 5, 8, ...? | 610 | Algebra | medium |
What is the area of a rectangle with length 13 and width 7? | 91 | Geometry | easy |
What is the simple interest earned on $2000 at 5% per year for 3 years, in dollars? | 300 | Arithmetic | medium |
Each interior angle of a regular octagon measures how many degrees? | 135 | Geometry | medium |
What is the sum of all solutions to |2x - 6| = 10? | 6 | Algebra | medium |
The roots of x^2 - 5x + 6 = 0 are r and s. What is r^2 + s^2? | 13 | Algebra | medium |
A father is 40 years old and his son is 10. In how many years will the father be exactly 3 times as old as his son? | 5 | Algebra | medium |
The average of four numbers is 15. If three of them are 10, 12, and 22, what is the fourth number? | 16 | Arithmetic | easy |
One machine completes a job in 9 days. A second machine is three times as fast. Working together, how many days will they take? | 9/4 | Algebra | medium |
A car travels 180 km in 2.5 hours. What is its average speed in km/h? | 72 | Arithmetic | easy |
A number is increased by 20% and the result is then decreased by 20%. The final result is what percent of the original number? | 96 | Arithmetic | medium |
How many integers from 1 to 100 inclusive are divisible by 3 or by 5? | 47 | Number Theory | medium |
How many ways can a committee of 3 people be chosen from 10 people? | 120 | Counting | easy |
How many distinct arrangements are there of the letters of the word BANANA? | 60 | Counting | medium |
If x + 2y = 13 and 2x - y = 11, what is x + y? | 10 | Algebra | medium |
In a two-digit number, the tens digit is 2 more than the units digit, and the number equals 6 times the sum of its digits plus 3. What is the number? | 75 | Algebra | medium |
How many liters of a 20% acid solution must be mixed with 10 liters of a 50% acid solution to obtain a 40% acid solution? | 5 | Algebra | medium |
What is the area of a circle with radius 6, in terms of pi? | 36π | Geometry | medium |
If (2x)/3 + 1 = 7, what is the value of x? | 9 | Algebra | easy |
A circle has area 100π. What is its circumference, in terms of pi? | 20π | Geometry | medium |
A price increases from $80 to $92. By what percent did it increase? | 15 | Arithmetic | medium |
Alice can paint a room in 4 hours and Bob can paint it in 6 hours. Working together, how many hours will they take? | 12/5 | Algebra | medium |
At 3:15, what is the measure in degrees of the smaller angle between the hour and minute hands of a clock? | 7.5 | Geometry | medium |
Two fair six-sided dice are rolled. What is the probability that the sum is even? | 1/2 | Probability | easy |
What is the average of 5, 9, 12, and 20? | 11.5 | Arithmetic | easy |
How many ways can 2 toppings be chosen from 8 available toppings? | 28 | Counting | easy |
What is the average of the first 20 positive integers? | 10.5 | Arithmetic | medium |
If (3x - 1)/4 = 5, what is x? | 7 | Algebra | medium |
If x + y = 17 and x - y = 5, what is the value of xy? | 66 | Algebra | medium |
Two fair six-sided dice are rolled. What is the probability that the sum is 7? | 1/6 | Probability | easy |
What is the value of x if 5^(x - 1) = 125? | 4 | Algebra | medium |
The ratio of cats to dogs in a shelter is 3:5, and there are 24 animals in total. How many dogs are there? | 15 | Arithmetic | easy |
What is log_2 64? | 6 | Algebra | easy |
A cyclist rides 120 km to a town at 60 km/h and returns at 40 km/h. What is her average speed for the whole round trip, in km/h? | 48 | Arithmetic | medium |
What is the sum of the digits of 10^6 - 1? | 54 | Number Theory | medium |
a : b = 2 : 7 and a + b = 54. What is the value of 3a? | 36 | Arithmetic | medium |
If 5x - 3 = 22, what is the value of x? | 5 | Algebra | easy |
What is sin 30 degrees? | 1/2 | Geometry | easy |
A line passes through (0, 3) with slope 2. What is the value of y when x = 5? | 13 | Algebra | easy |
What is the smallest prime number greater than 50? | 53 | Number Theory | easy |
What is the sum of the interior angles of a decagon, in degrees? | 1440 | Geometry | medium |
If f(x) = 2x + 1 and f(a) = 11, what is a? | 5 | Algebra | easy |
Maria's average on four tests is 85. What must she score on a fifth test to raise her average to 87? | 95 | Arithmetic | medium |
Two cards are drawn at random without replacement from a standard 52-card deck. What is the probability that both are aces? | 1/221 | Probability | medium |
How many perfect squares are there between 1 and 200 inclusive? | 14 | Number Theory | medium |
What is the sum of the infinite geometric series 8 + 4 + 2 + 1 + ...? | 16 | Algebra | medium |
How many lattice paths go from (0, 0) to (4, 3) moving only right or up? | 35 | Counting | medium |
What is the remainder when 2^10 is divided by 7? | 2 | Number Theory | medium |
What is the greatest common divisor of 84 and 126? | 42 | Number Theory | easy |
What is the minimum value of f(x) = x^2 - 4x + 3? | -1 | Algebra | medium |
A right triangle has a 30 degree angle and hypotenuse of length 10. What is the length of the side opposite the 30 degree angle? | 5 | Geometry | medium |
The solution to 4(x - 2) = 3x + 5 is what value of x? | 13 | Algebra | medium |
The angles of a triangle are in the ratio 1:2:3. What is the measure of the largest angle? | 90 | Geometry | easy |
What is the 8th term of the geometric sequence 3, 6, 12, ...? | 384 | Algebra | medium |
What is the larger root of x^2 - 6x + 8 = 0? | 4 | Algebra | easy |
A bag contains 3 red and 5 blue marbles. One marble is drawn at random. What is the probability it is blue? | 5/8 | Probability | easy |
What is the value of floor(sqrt(200))? | 14 | Number Theory | easy |
The sum of three consecutive integers is 48. What is the largest of the three? | 17 | Number Theory | easy |
What is 30% of 40% of 500? | 60 | Arithmetic | medium |
Two bells toll together, then toll every 12 seconds and every 15 seconds respectively. After how many seconds will they toll together again? | 60 | Number Theory | medium |
What is the remainder when 1234 x 5678 is divided by 9? | 8 | Number Theory | medium |
Tom is currently 4 times as old as Ben. In 8 years, Tom will be twice as old as Ben. How old is Tom now? | 16 | Algebra | medium |
How many prime numbers are there between 10 and 30 inclusive? | 6 | Number Theory | medium |
If 7x + 2 = 4x + 17, what is the value of 3x + 1? | 16 | Algebra | medium |
The sum of four consecutive even integers is 100. What is the smallest? | 22 | Number Theory | medium |
What is log_10 0.001? | -3 | Algebra | medium |
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