Algebra
Geometry
Number Theory
Combinatorics
100
What is the value of 44 x 46?
2024
100
Compute sin(510°).
1/2
100
Compute the remainder as 122*78 is divided by 11
1
100
In a game of split or steal, contestants Ronald and Jacob are equally likely to split as they are to steal. If both participants split the money, they each get half the money. If one steals, and the other splits, the stealer gets all the money. If they both steal, neither get the money. This is the probability Jacob runs home with at least half the money
1/2
200
An equilateral triangle has two vertices at (0,5) and (8,5). If the third vertex is in the first quadrant, what is the y-coordinate? Express your answer in simplest radical form.
5 + 4√3
200
What’s the sum of all the factors/divisors of 128
255
200
A pizza shop offers 7 different toppings. You want to order a pizza with exactly 3 toppings. How many different combinations of toppings can you choose?
35
300
Find the mean of all solutions for x when x^3 + 3x^2 - 10x = 0.
-1
300
A rhombus has an area of 108 square units. The lengths of its diagonals have a ratio of 3 to 2. What is the length of the longest diagonal, in units?
18
300
While conquering Europe, Napoleon’s general Davout has a division consisting of a number of cavalry around 1000. When these horses are lined up into rows of 7, there will be 2 horses remaining. When these horses are lined up in rows. When these horses are lined up in rows of 9, there would be 3 remaining. When these horses are lined up in rows of 5, there are 3 remaining. This is the exact number of cavalry.
1038 horses
300
Aaron, Benjamin, Calvin, Danny and Sora run a race. Aaron has a magical device that makes him always ahead of Benjamin (dirty cheater). This is the number of ways the gold, silver, and bronze metals can be distributed.
30
400
What is the greatest number of consecutive integers whose sum is 45?
90
400
ABC is triangle with AC = 28 and BC = 56. Let point X be on AB such that CX is the angle bisector of angle ACB. Find the value of AX.
50/3
400
The number of positive integer pair solutions to the equation:
(1+2a)(2+2b)(2a+b)=32ab
Haha none
400
How many permutations (ways) can we arrange the letters PURPLE so that they follow these conditions
1. the two p are always adjacent to each other
2. The E and the U are never adjacent to each other
72
500
Suppose that a cows give b gallons of milk in c days. At this rate, how many gallons of milk will d cows give in e days?
bde/ac
500
Cyclic quadrilateral ABCD has lengths BC = CD =3 and DA = 5 with 
. What is the length of the shorter diagonal of ABCD
39/7
500
How many odd positive 2-digit integers are divisible by 3 but don't contain the digit 3?
11
500
There are 15 prime bottles including 5 lime-flavored ones, 4 banana-flavored ones, 3 cherry-flavored ones, 2 berry-flavored ones, and 1 "X" flavored one. KSI picks 3 bottles. Let p be the probability that all 3 bottles KSI picks are different flavors. Let q be the probability that all 3 bottles KSI picks are the same flavor. What is p/q in simplest form?
4