Algebra/Number Theory
Geometry
Statistics/Probability
Calculus
Other
100
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?
(D) 2 2/3
100
The degree measure of angle A is
(B) 30
100
Given math test scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with math scores above 130 are:
a) 95% b) 68% c) 5% d) 2.5% e) 1.25%
d) 2.5%
100
The number of points on the parabola y^2 = x at which the slope of the normal drawn at the point is equal to the x-coordinate of that point is
a) infinity b) 1 c) 2 d) 3 e) 0
c) 2
100
1(1/1)(-1)(1(-1(-1)))+1-1-(-(-1))
a) -3 b) -2 c) -1 d) 0 e) 1
-2
200
Suppose that 
and 
. What is 
?
(D) 2
200
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
200
In a standard deck of 52 playing cards, what is the probability that the first card drawn is a face card (a king, queen or jack) or a diamond?
A) 11/26 B) 3/13 C) 25/52 D) 3/52 E) 1/4
A) 11/26
200
f(x) = 2x^3 - 9x^2 - 24x + 5
What is the range in which f(x) increases with x?
a) x > 4 b) x > 4 or x < -1 c) x < -1 d) x < 4 or x > -1 e) Can’t be determined
b) x > 4 or x < -1
200
Who invented zero?
Brahmagupta
300
The first three terms of an arithmetic sequence are 
, 
, and 
respectively. The nth term of the sequence is 
. What is n?
(B) 502
300
Five unit squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted line, extending from 
to 
, divides the entire region into two regions of equal area. What is c?
C) 2/3
300
Chloe chooses a real number uniformly at random from the interval 
. Independently, Laurent chooses a real number uniformly at random from the interval 
. What is the probability that Laurent's number is greater than Chloe's number?
C) 3/4
300
For t≥0, the position of a particle moving along the x-axis is given by x(t) = sin(t) - cos(t). What is the acceleration of the particle at the point where the velocity is first equal to 0?
A) -√8 b) -1 C) 0 D) 1 E) √2
A) -√8
300
In the two numerical sequences below, one number that appears in the top sequence should appear in the bottom sequence and vice versa. Which two numbers should be changed around?
2, 2.5, 4.5, 6.75
1, 3, 6.25, 15.625
2.5 and 3
400
How many positive integers less than 1000 are 6 times the sum of their digits?
(B) 1
400
In the figure, ABCD is a square of side length 1. The rectangles JKHG and EBCF are congruent. What is BE?
C) 2-sqrt3
400
A number m is randomly selected from the set 
, and a number n is randomly selected from 
. What is the probability that 
has a units digit of 1?
E) 2/5
400
Let P₅(x) be the fifth-degree Taylor polynomial approximation for f(x) = sin(x), centered at x = 0. What is the Lagrange error of the polynomial approximation to sin(1)?
a) 1/(5!) b) 1/(7!) c) 1 d) 1/(6!) e) 0
b) 1/(7!)
400
Convert the following roman numeral to a number:
CDXX
420
500
Given there are two natural numbers m and n, both less than 20, how many pairs of (m, n) satisfy the equation below?
f(mn) = f(m) + f(n)
a) 220 b) 230 c) 240 d) 250 e) 260
a) 220
500
Circles A, B and C are externally tangent to each other, and internally tangent to circle D. Circles B and C are congruent. Circle A has radius 1 and passes through the center of D. What is the radius of circle B?
D) 8/9
500
Tina randomly selects two distinct numbers from the set 
, and Sergio randomly selects a number from the set 
. What is the probability that Sergio's number is larger than the sum of the two numbers chosen by Tina?
A) 2/5
500
Find the volume of the parallelepiped with the following vertices:
(0, 0, 0), (5, 0, 0), (0, 9, 3), (5, 9, 3), (2, 0, 4), (7, 0, 4), (2, 9, 7), (7, 9, 7)
a) 180 b) 167 c) 60 d) 30 e) 22
a) 180
500
The base-nine representation of the number N is 
What is the remainder when N is divided by 5?
D) 3