Algebra
Geometry
Number Theory
Combinatorics
Mystery (triple points)
100
If 4x + 7 = 11, what is 3(x - 2)?
-3
100
Two angles of a triangle are 35° and 65°. What is the third angle?
80°
100
What is the remainder when 43 is divided by 5?
3
100
Five people must line up in a row to take a photo. How many ways are there to arrange them?
120
100
Algebra: A two-digit number has digits that add to 11. Reversing its digits makes the number 27 larger. What is the original number?
47
200
Three consecutive integers add up to 48. What is the largest integer?
17
200
A square has diagonal length 8√2. What is its area?
64
200
How many positive factors does 24 have?
8
200
Five people line up for a photo. Alex must be first. How many arrangements are there?
24
200
Number theory: How many positive divisors of 360 are perfect squares?
4
300
A price rises by 20%, then falls by 20%. What percent of the original price remains?
96%
300
What is the area of an isosceles triangle with side lengths 6, 5, and 5?
12
300
Find LCM(9, 15) × GCD(9, 15).
135
300
Five people line up for a photo. Alex must stand next to Beth. How many arrangements are there?
48
300
Geometry: Each interior angle of a regular polygon measures 150°. How many sides does it have?
12
400
If 2x + 3y = 17 and 3x + 2y = 18, what is x + y?
7
400
In the diagram below, a diameter of each of the two smaller circles is a radius of the larger circle. If the total area of the shaded area is 1, find the total area of the non-shaded area.
1
400
Find the units digit of 2026^2026.
6
400
I pick out marbles from a box. Initially, there are 10 red marbles and 10 blue marbles. I pick two at random, without replacement. What is the probability that one is red and one is blue?
10/19
400
Combinatorics: How many ways can Amy the Ant move from point A (0, 0) to point B (6, 4) in the shortest path without getting eaten by Albert the Anteater living on (3, 3)?
130
500
If x ≠ 0 and x + 1/x = 3, what is x3 + 1 / x^3?
18
500
Rectangle ABCD and right triangle DCE have the same area. They are joined to form a trapezoid, as shown. What is DE?
13
500
If 10! = 2^a * 3^b * 5^c * 7^d, find abcd.
64
500
Two coins, one fair coin and one unfair coin with 2/3 probability of landing on head are rolled. What is the probability that one lands on heads, and the other on tails?
1/2
500
Geometry: What is the largest area of a circle that can be inscribed in a right triangle with side lengths 7, 24, and 25?
9π