Algebra
Arithmetic
Geometry
Number Theory
Probability
100
Portia's high school has 3 times as many students as Lara's high school. The two high schools have a total of 2600 students. How many students does Portia's high school have?
1950
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
100
The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire 4 by 4 grid is covered by the star?
50%
100
A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?
23
100
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
Two jars each contain the same number of marbles, and every marble is either blue or green.
In Jar 1 the ratio of blue to green marbles is 9:1, and the ratio of blue to green marbles in Jar 2 is 8:1. There are 95 green marbles in all. How many more blue marbles are in Jar 1 than in Jar 2?
5
200
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
200
Each of the small circles in the figure have a radius of 1. The innermost circle is tangent to all 6 surrounding circles which are tangent to the outer circle. What is the area of the shaded region? (in terms of pi)
2π
200
The numbers 3, 5, 7, a, and b have an average (arithmetic mean) of 15 .
What is the average of a and b ?
30
200
Each of two boxes contains three chips numbered 1, 2, 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?
5/9
300
Chantal and Jean start hiking from a trailhead toward a fire tower. Jean is wearing a heavy backpack and walks slower. Chantal starts walking a 4 miles per hour. Halfway to the tower, the trail becomes really steep, and Chantal slows down to 2 miles per hour. After reaching the tower, she immediately turns around and descends the steep part of the trail at 3 miles per hour. She meets Jean at the halfway point. What was Jean's average speed, in miles per hour, until they meet?
12/13
300
What is the value of:
(22-2)-(32-3)+(42-4)
8
300
Square ABCD has side length 22. Points G and H lie on AB so that AH = BG = 5. Points E and F lie outside square ABCD so that EFGH is a square. Compute the area of hexagon AEFBCD.
688
300
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
300
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
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
Solve the ratio 
for an integer value
5
400
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
400
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
400
In a game, a player chooses 2 of the 13 letters from the first half of the alphabet (i.e., A–M) and 2 of the 13 letters from the second half of the alphabet (i.e., N–Z). Aditya plays the game, and then Ayesha plays the game. Compute the probability that Aditya and Ayesha choose the same set of four letters.
1/6084
500
Real numbers x and y staisfy x+y=4 and x*y=-2
What is the value of x + x3/y2 + y3/x2+y
440
500
Let N = 888,888 × 9,999,999. Compute the sum of the digits of N
63
500
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
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
When 7 fair standard 6-sided dice are thrown, the probability that the sum of the numbers on the top faces is 10 can be written as n/67. What is n?
84