Arithmetic
Geometry
Combinatorics
(Counting)
(Counting)
Number Theory
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Do not choose - you have been warned!
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
\[\int \frac{d(\text{cabin})}{\text{cabin}}\]
\[\int \frac{d(\text{cabin})}{\text{cabin}} = \ln(\text{cabin}) + C = \text{Houseboat}\]
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