Algebra / NT
Combo / Geometry
Target Number
Visual Puzzle
Math History
Random
100
The largest integer less than \frac{100000}{67}.
What is 1492?
100
Yilin has a collection multicolored ketchup packets! 30% of them are red, 1/6 are green, and 64 of them are blue. She has __ more red packets than green packets.
What is 16?
100
A way to write 100 as an expression involving 2,3,4,5.
What is the value of (2+3)\times 4\times 5?
100
The number of in the figure, including triangles made from smaller ones.
What is 13?
100
A mind game where if you think about it, you lose.
What is the game?
100
The symbol for discriminant.
What is \Delta ?
200
Walking up a moving up-escalator, Kai reaches the top in 24 seconds. Standing still on it, he reaches the top in 58 seconds. It would take Kai __ seconds to walk down the same escalator at the same walking pace.
What is \frac{696}{5}?
200
The NHS Cafeteria lets you choose 3 different toppings from its 5 meats and 4 vegetables for your school pizza. However, at least one of your three toppings must be a vegetable. This is the number of topping choices you can have on your pizza.
What is 74?
200
A way to write 59 as an expression involving 2,3,5,7.
What is the value of \frac{5^3-7}{2}?
200
Draw every segment exactly once without lifting your pencil. This is one such way to do so.
What is D–B–A–C–B–E–C–D–E? (There are multiple correct questions)
200
This year, notable progress was made on this famous math problem after an AI model was repeatedly told to believe in itself.
What is the Riemann Hypothesis?
200
The value of (111,111,111)2.
What is 12,345,678,987,654,321?
300
The smallest positive integer n such that the value of 1+2+3+\cdots+n is a multiple of 69.
What is 23?
300
A point inside an equilateral triangle is 2, 3 and 5 units away from the three sides. This is the triangle's area.
What is \frac{100\sqrt3}{3}?
300
A way to write 35 as an expression involving 2,3,27,64.
What is the value of \root3{27}+\frac{64}{2}?
300
The solution to this Simple Loop Puzzle
What is
300
The use of 60 minutes in an hour comes from the base-60 number system of this ancient civilization.
Who were the Babylonians?
300
The first ten digits of \pi .
What is 3.141592653?
400
The number of integer solutions to x^3+xy+y^3=x^2+y^2.
What is infinity?
400
A tight belt wraps around two pulleys, crossing straight between them like a bicycle chain. The pulleys are circles with radii 8 and 2, and their centers are 12 apart. This number is the length of the belt.
What is 12\sqrt3+12\pi?
400
A way to write 67 as an expression involving 777,999,23310,36963.
What is the value of \frac{23310}{777}+\frac{36963}{999}?
400
The solution to the Nurikabe Puzzle below:
What is
400
This ninth-century Persian mathematician is commonly called the father of algebra.
Who was Al-Khwarizmi?
400
First 8 letters of the Greek Alphabet.
What are \alpha, \beta, \gamma, \delta, \epsi, \zeta, \eta, \theta ?
500
The value of the summation
\sum_{n=2}^{64}\frac{n}{\sqrt{n^2+n} + \sqrt{n^2-n}}.
What is 4\sqrt{65} - \frac{\sqrt2}{2}?
500
A game board has 42 lights arranged in a 6 x 7, all initially off. A move consists of choosing any 2 x 2 square of lights and switching all four lights in that square: lights that are on turn off, and lights that are off turn on. After some number of moves, exactly four lights are on. There are __ possible orientations of these four lights.
What is 315?
500
A way to write 24 as an expression involving 3,3,8,8.
What is the value of \frac{8}{3-\frac{8}{3}}?
500
The queen begins on J6. Players alternate moving it any positive number of squares left, down, or diagonally down-left. Whoever moves it to A1 first wins. With perfect play, the first player can guarantee victory by playing this move.
What is Queen to D6?
500
This country's student Alex Chiu has just become the newly most decorated IMO contestant in history.
What is the United Kingdom?
500
The exact radical expansion of
sin(3^\circ).
What is
\frac{\sqrt{30}+\sqrt{10}-\sqrt{6}-\sqrt2-\sqrt{60+12\sqrt5}+\sqrt{20+4\sqrt5}}{16}?