Algebra
Geometry
Number Theory
Counting/Probability
Surprise Me!
100
Suppose that a*b means 3a-b. What is the value of x if 2*(5*x)=1
(D) 10
100
The area of a circle whose circumference is 24*pi is k*pi. What is the value of k?
(E) 144
100
For the positive integer n, let 
denote the sum of all the positive divisors of n with the exception of n itself. For example, 
and 
. What is 
?
(A) 6
100
Each of two boxes contains three chips numbered 1, 2, and 3. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?
(E) 5/9
100
Four students take an exam. Three of their scores are 70, 80, and 90. If the average of their four scores is 70 then what is the remaining score?
(A) 40
200
Which of the following equations does NOT have a solution?
(B) |-3x| + 4 = 0
200
How many square yards of carpet are required to cover a rectangular floor that is 12 feet long and 9 feet wide? (There are 3 feet in a yard.)
(A) 12
200
The number N is a two-digit number.
• When N is divided by 9, the remainder is 1.
• When N is divided by 10, the remainder is 3.
What is the remainder when N is divided by 11?
(E) 7
200
The Centerville Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?
(E) 12
200
Find the value of the expression: 
(E) 100
300
What is the value of the expression
?
(B) 1120
300
If the degree measures of the angles of a triangle are in the ratio 3:3:4, what is the degree measure of the largest angle of the triangle?
(D) 72
300
Which of the following numbers is not a perfect square?
(B) 2017
300
How many integers between 1000 and 9999 have four distinct digits?
(B) 4536
300
Which of the following integers cannot be written as the sum of four consecutive odd integers?
(A) 16
400
Which of the following is equal to 
?
(B)
400
In the non-convex quadrilateral ABCD shown below, angle BCD is a right angle, AB = 12, BC = 4, CD =3, and AD = 13.
What is the area of quadrilateral ABCD?
(B) 24
400
What is the sum of the digits of the square of 111,111,111?
(E) 81
400
Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a die is rolled. What is the probability that the product of the numbers on the tile and the die will be a square?
(C) 11/60
400
What is the largest power of 2 that is a divisor of
13^4 - 11^4?
(C) 32
500
What is the least possible value of (xy-1)^2 + (x+y)^2 for real numbers x and y?
(D) 1
500
Four congruent rectangles are placed as shown. The area of the outer square is 4 times that of the inner square. What is the ratio of the length of the longer side of each rectangle to the length of its shorter side?
(A) 3
500
What is the largest integer n for which 5n is a factor of the sum 98! + 99! + 100!?
(B) 24
500
Marvin had a birthday on Tuesday, May 27 in the leap year 2008. In what year will his birthday next fall on a Saturday?
(E) 2017
500
How many perfect cubes lie between (2^8 + 1) and (2^18 + 1)?
(E) 58