Numbers
1 + 2 + 3 + ... + 300
45150
The next century without a single square numbered year
What is the 36th century?
The number of inches in 1/6 of a mile
(1 mile = 5280 feet)
What is 10560 feet?
The greatest five-digit number whose digits have a product of 2160
What is 98651?
The value of N, given that one-fourth of 56% of N is 77.
What is 550?
1^3 + 2^3 + .... + 9^3
What is 2025?
The president at the beginning of the last prime numbered year
Who is Obama?
The sum of three consecutive multiples of 5, given that their product is 42,000.
What is 105?
The area of quadrilateral ABCD with vertices A(4, 6), B(4, 3), C(−2, 1) and D(−5, 6)
What is 31.5?
The number of integers between 1 and 100 inclusive that are multiples of 3 or 5
What is 47?
The tens digit of 2015^2016 - 2017
What is 0?
The most common score on the 2024 AMC 10A
What is 42?
Given that a, b, and c are all positive integers greater than 1 such that a + ab + abc = 415, this is the value of c.
What is 40?
The sum of the GCD and the LCM of 12^3 and 4^4
What is 6976?
There is exactly one ordered pair of positive integers (x, y) that satisfies the equation 57x + 29y = 1234. This is the value of x + y.
What is 30?
The value of abcd, given that 4^a = 5, 5^b = 6, 6^c = 7, and 7^d = 8.
What is 3/2?
The most common score on the USAJMO in recent years. (USAJMO is a challenging proof based competition scored on a scale from 0-42 points)
What is 0?
There is a unique time between 2 and 3 o clock at which the minute and hour hands of a standard 12-hour clock form an angle of 180 degrees. This is the number of hours this time is after 2 o clock.
What is 8/11 hours?
Stephanie rolls three standard dice. This is the probability that the product of the three numbers she rolled is not a multiple of 8.
What is 2/3?
The probability that at least two dice show a 3 when four fair six-sided dice are rolled.
What is 19/144
The mean, median, unique mode, and range of a list of 8 integers are all equal to 8. This is the largest possible integer to be part of this collection.
What is 14?
This event in California happened during the first square number year since the US became independent
What is the Gold Rush?
Charles has a meeting at 4:00 p.m. He leaves his house at a random time between 3:00 p.m. and 3:30 p.m., and due to traffic, it takes him a random length of time between 30 and 45 minutes to get to the meeting from his house. This is the probability that Edward arrives early.
What is 3/4?
A bag contains maroon marbles and gold marbles. The probability of pulling two maroon marbles without replacement is 7/15. The probability of pulling two gold marbles without replacement is 1/15. This is the least number of marbles that could possibly be in the bag.
What is 10?
Chelsea notices that the sum of the positive factors of a positive integer n is equal to 2.8n. This is the least possible value of n.
What is 60?