AMC
How many integer values of x satisfy |x| < 3π?
What is 19?
What is the sum of all odd integers from 1 to 100 inclusive?
What is 2500?
What is the next value in this sequence: 1 1 2 3 5 8 13 ?
What is 21?
This mathematician is best known for his theorem relating to the lengths of the sides of a right triangle.
Who is Pythagoras?
Approximately equal to 99/70
What is √2?
How many of the first ten numbers of the sequence 121, 11211, 1112111, … are prime numbers?
What is 0?
The mean of three positive integers a, b and c is 10, and the median of these integers is 5. What is the greatest possible value for c? (MATHCOUNTS)
What is 24?
How many colors does it take to color any map so that no two adjacent regions have the same color?
Known as the father of calculus, he also made many groundbreaking discoveries in physics.
Who is Isaac Newton?
(1 + √5)/2
What is the golden ratio?
Find the degree measure of an angle whose complement is 25% of its supplement.
What is 60?
What is the units digit of 2024^2023+2023^2024?
What is 5?
You are going on a 2 mile trip. You drive 15 mi/h for the first mile. How fast must you travel for the second mile to obtain an average speed of 30 mi/h.
What is impossible?
Introduces the numbers 0-9 to Europe, and is also credited with discovering a famous sequence 1, 1, 2, 3, ….
Who is Leonardo Fibonacci?
eiπ + 1
What is 0?
A 3-4-5 right triangle is inscribed in circle A, and a 5-12-13 right triangle is inscribed in circle B. What is the ratio of the area of circle A to the area of circle B?
What is 25/169?
In a regular decagon (10-sided) with vertices labeled MATHWIZARD in a counterclockwise manner, what is the degree measure of angle HIT?
What is 18 degrees?
limit as x -> 0 of (ln(1-x) - sin(x))/(1-cos(x)^2)
What is the limit does not exist?
This computer programmer broke the enigma code and came up with a test named after him that determines how well an AI “imitates” a human. A movie was made about him and was fittingly named “The Imitation Game.”
The ratio of the perimeter and width of any curve of constant width.
What is π?
Let f be a real-valued function such that f(x) + 2f(2002/x) = 3x for all x > 0. Find f(2).
What is 2000?
What is the greatest prime factor of 9^6 − 1 that does not divide 9^5 − 9^3 − 9^2 + 1? (MATHCOUNTS)
What is 73?
∫∞-∞ e^(-x^2)dx
What is sqrt(pi)?
Known for his contributions to non-Euclidean geometry, this Russian mathematician was one of the first to disprove Euclid’s fifth postulate.
Who is Nikolai Lobachevsky?
1/0! + 1/1! + 1/2! + 1/3! + … + 1/n!
What is e?