Algebra
Number Theory
Geometry
Counting and Probability
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100
Evaluate 24-(2x-y) if x=4 and y=3.
19
100
If the pattern shown continues, what is the letter in the 2010th position? MATHLETEMATHLETEMATHLETE...
A
100
A 10-by-12-inch page has margins of 1.5 inches on all sides. What fraction of the area of the page is taken up by the margins? Express your answer as a common fraction.
19/40
100
Compute 
48
100
How many isosceles triangles are there with positive area whose side lengths are all positive integers and whose longest side has length 2025?
3037
200
Evalutate: (723)(723) - (722)(724)
1
200
What is the sum of the proper divisors of 256? (A proper divisor is any positive divisor of a number, excluding the number itself.)
255
200
Chuck the llama is tied to the corner of a 2m by 3m shed on a 3m leash. How much area (in square meters) does Chuck have in which to play if he can go only around the outside of the shed?
7pi
200
Two fair, six-sided dice are rolled. What is the probability that the sum of the two numbers showing is between 3 and 11, inclusive?
17/18
200
Consider the sequence of positive integers
1,2,1,2,3,2,1,2,3,4,3,2,1,2,3,4,5,4,3,2,1,2,3,4,5,6,5,4,3,2,1,2,...
What is the 2025th term in this sequence?
45
300
What digit is represented by D if 144/D = 1D, with 1 the tens digit and D the ones digit of the quotient?
8
300
How many different prime factors does 20! have? (Reminder: If n is a positive integer, then n! stands for the product 1 * 2 * 3 * ... * (n-1) * n.)
8
300
Rose has a spherical plum of radius 2 and a spherical watermelon of radius 8. She builds a glass sphere around the two fruits to contain them, making the sphere as small as possible. When she has done this, the volume contained within the sphere, but not in the plum or the watermelon, is 
. What is the value of K?
640
300
A point (x,y) is randomly selected such that 
and 
. What is the probability that 
? Express your answer as a common fraction.
1/4
300
Suppose a and b are real numbers. When the polynomial x^3 + x^2 + ax + b is divided by x-1, the remainder is 4. When the polynomial is divided by x-2, the remainder is 6. What is b - a ?
18
400
A rectangular block of candy 10 inches by 10 inches by 5 inches is coated on all faces with a very thin layer of chocolate. The block of candy is then cut into cubes measuring 1 inch by 1 inch by 1 inch. What percent of the cubes have no chocolate on them? Express your answer to the nearest tenth.
38.4%
400
A box contains gold coins. If the coins are equally divided among six people, four coins are left over. If the coins are equally divided among five people, three coins are left over. If the box holds the smallest number of coins that meets these two conditions, how many coins are left when equally divided among seven people?
0
400
Parallelogram ABCD with A(2,5), B(4,9), C(6,5), and D(4,1) is reflected across the x-axis to A'B'C'D' and then A'B'C'D' is reflected across the line y=x+1 to A''B''C''D''. This is done such that D' is the image of D, and D'' is the image of D'. What is the ordered pair of D'' in the coordinate plane?
(-2,5)
400
The three-digit positive integer N has a ones digit of 3. What is the probability that N is divisible by 3? Express your answer as a common fraction.
1/3
500
If the sum of the squares of nonnegative real numbers a,b, and c is 13, and ab + bc + ca = 6, then what is the sum of a,b, and c?
5
500
The greatest common divisor of positive integers m and n is 6. The least common multiple of m and n is 126. What is the least possible value of m+n?
60
500
Carla rotated point A 420 degrees clockwise about point B and it landed at point C. Devon rotated the original point A x degrees counterclockwise about point B and it also landed at point C. If 0 < x < 360, what is the value of x?
300
500
What is the remainder when 7^{2024}+7^{2025}+7^{2026} is divided by 19?
0