Algebra
Geometry
Properties of Numbers
Probability
Word Problems
100
What is the value of 2000(20002000)
20002001
100
What is the maximum number of possible points of intersection of a circle and a triangle?
6
100
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?
(In terms of S)
2S + 12
100
A drawer contains red, green, blue, and white socks with at least 2 of each color. What is the minimum number of socks that must be pulled from the drawer to guarantee a matching pair?
5
100
Each day, Jenny ate 20% of the jellybeans that were in her jar at the beginning of that day. At the end of the second day, 32 remained. How many jellybeans were in the jar originally?
50 jellybeans
200
Solve the ratio 
for an integer value
5
200
What is the area of the shaded figure shown below?
6
200
The median of the list n, n+3, n+4, n+5, n+6, n+8, n+10, n+12, n+15 is 10. What is the mean?
11
200
A box contains 28 red balls, 20 green balls, 19 yellow balls, 13 blue balls, 11 white balls, and 9 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 15 balls of a single color will be drawn
76
200
Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?
2/5
300
There are 3 numbers A, B, and C, such that
1001C - 2002A = 4004
1001B + 3003A = 5005.
What is the average of A, B, and C?
3
300
The sides of a triangle with positive area have lengths 4, 6, and x. The sides of a second triangle with positive area have lengths 4, 6, and y. What is the smallest positive number that is not a possible value of | x - y |?
8
300
Let I, M, and O be distinct positive integers such that the product I * M * O = 2001. What is the largest possible sum I + M + O?
671
300
How many ways can a student schedule 3 mathematics courses -- algebra, geometry, and number theory -- in a 6-period day if no two mathematics courses can be taken in consecutive periods? (What courses the student takes during the other 3 periods is of no concern here.)
24
300
Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48 , but in January her bill was $17.54 because she used twice as much connect time as in December. What is the fixed monthly fee?
$7.42
400
Define x@y to be |x-y| for all real numbers x and y. What is the value of (1@(2@3))-((1@2)@3)?
-2
400
A 45 degree arc of circle A is equal in length to a 30 degree arc of circle B. What is the ratio of circle A's area and circle B's area?
4/9
400
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, form 4 two-digit prime numbers, using each digit only once. What is the sum of the 4 prime numbers?
190
400
If the probability of rain on any given day in City X is 50 percent, what is the probability that it rains on exactly 3 days in a 5-day period?
5/16
400
Wanda, Darren, Beatrice, and Chi are tutors in the school math lab. Their schedule is as follows: Darren works every third school day, Wanda works every fourth school day, Beatrice works every sixth school day, and Chi works every seventh school day. Today they are all working in the math lab. In how many school days from today will they next be together tutoring in the lab?
84 days
500
If x, y, and z are positive with xy=24, xz=48, and yz=72, then x+y+z is
22
500
The figure below shows a square and four equilateral triangles, with each triangle having a side lying on a side of the square, such that each triangle has side length 2 and the third vertices of the triangles meet at the center of the square. The region inside the square but outside the triangles is shaded. What is the area of the shaded region?
12-4sqrt(3)
500
Let P(n) and S(n) denote the product and the sum, respectively, of the digits of the integer n. For example, P(23) = 6 and S(23) = 5. Suppose N is a two-digit number such that N = P(N) + S(N). What is the units digit of N?
9
500
An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 3 ?
2/3
500
Jamal wants to store 30 computer files on floppy disks, each of which has a capacity of 1.44 megabytes (MB). Three of his files require 0.8 MB of memory each, 12 more require 0.7 MB each, and the remaining 15 require 0.4 MB each. No file can be split between floppy disks. What is the minimal number of floppy disks that will hold all the files?
13