Number Theory
Algebra
Geometry
Probability/Counting
Misc.
97
The amount of prime numbers under 30
What is 10?
97
For every $50 worth of supplies Bill buys at a local hardware store, he receives a $5 discount. If Bill bought $846 worth of supplies from this store, what was the cost after the discounts were applied?
What is 766
97
The ratio of measures of two complementary angles is 4 to 5. The smallest measure is increased by 10%. What is the measure of the larger angle now?
What is 46
97
I roll two dice. This is the probability that the product of the two faces that point up is prime
What is 1/6?
97
Four consecutive integers are substituted in every possible way for distinct values a, b, c and d. This is the positive difference between the smallest and largest possible values of (ab + cd )?
What is 4
199
This three digit number is the largest three digit number that is divisible by 9 and has all distinct digits.
What is 981
199
A super ball is dropped from 100 feet and rebounds half the distance it falls each time it bounces. How many feet will the ball have traveled(across its entire journey) when it hits the ground the fourth time?
What is 275
199
What is the ratio of the area of the shaded area to the large circle?
What is 1/2
199
This is the amount of rectangles in the figure?
What is 19
199
The mean of five whole numbers is 12, and the unique mode is 13. If all five numbers are greater than 9 but less than 14, what is the median of the five numbers?
What is 13
293
The units digit of 172*2112*375*231301
What is 9
293
A car is averaging 50 miles per hour. If the car maintains this speed, how many seconds less would a 450-mile trip take than a 475-mile trip?
What is 1800
293
Find the length of DA
What is 10sqrt(3)
293
How many ways are there to order BEEHIVES?
What is 6720
293
A standard die is rolled six times. What is the probability that the product of all six rolls is even? Express your answer as a common fraction.
63/64
397
The product of the LCM and GCD of 1000 and 2950 *use shortcut*
What is 2,950,000
397
If f (x) = x2 + 5 and g (x) = 2 (f (x)), what is the greatest possible value of f (x + 1) when g(x) = 108?
What is 69
397
A rhombus has a perimeter of 68 units and one of its diagonals is 30 units. What is its area in square units?
What is 240
397
The probability of getting at least 2 heads when flipping a coin six times
What is 57/64
397
The rightmost non-zero digit in (1001001)(1010101)+(989899)(1001001)-(1001)(989899)-(1010101)(1001) is a, and it is followed by b zeroes. Find the ordered pair (a,b).
What is (2,12)
499
The amount of trailing zeroes in 134 factorial
What is 33
499
What is the sum of all values of x that satisfy the equation xx-3/x=x/x4/x
What is 4
499
The area of a triangle with side lengths 13, 14 and 15
What is 84
499
A license plate consists of two letters followed by two digits; for example, MP78. Neither the digits nor the letters may be repeated, and neither the letter O nor the digit 0 may be used. When reading from left to right, the letters must be in alphabetical order and the digits must be in increasing order. How many different license plate combinations are possible?
What is 10800
499
Two integers have the property that when their sum is added to the arithmetic mean of their squares, the result is 64. What is the greatest possible value of the product of these two integers?
What is 80