Arithmetic
Geometry
Combinatorics
(Counting)
Number Theory
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Do not choose - you have been warned!
1000

What is 1+3+9+27+...+310?

88573

1000

If a cube has volume 16, what is the volume of a cube with twice the side length?

128

1000

How many different cookies can be made with 7 types of dough and 3 toppings? Cookies can also be gluten free or have gluten.

42

1000

How many factors does 144 have?

15

1000

Compute sin(60°F)

-1000 points

1414

What is 1/2 * 2/3 * 3/4 * ... * 2025/2026?

1/2026

1414

What is the sum of the angles in a dodecagon (12-sided polygon)?

1800

1414

How many ways can you list 5 cookies from favorite to least favorite?

120

1414

What is the largest n such that 60n/n! is an integer?

6
1414

-1414 points

2000

What is the sum of every odd, positive integer up to 100?

2500

2000

A sphere has surface area 24. What is the area of a circle with the same radius?

6

2000

Choose a random positive integer up to 1000. What is the probability that one of its digits will be 9?

0.468559

2000

What is the sum of all x for which
|x(x+2)(x+4)| is prime? (Hint: prime numbers are multiples of only 1 and themselves).

-4

2000

-2000 points

-2000 points

2718

What is 1/5 + 1/25 + 1/125 + ...?

1/4

2718

What is the area of a triangle with side lengths 4, 6, and 8?

3√̅1̅5̅

2718

How many ways are there to rearrange the letters in MATHLETES?

181440

2718

What is the remainder when 52026 is divided by 26?

25

2718

-2718 points

3141

If the sum of the first n integers is 2,053,351, what is (n+½)2?

2026

3141

What is the area of a regular octagon with side length 2?

8+8√̅2̅

3141

How many ways are there to choose positive integers a, b, c, and d such that a+b+c+d=9?

56

3141

What are the last 3 digits of 9*99*999*9999*...*(99 9's)?

109

3141

Compute Σ₀ ᪲1/n²

-3141²/6 points

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