The Basics

Mean/Median/Mode

200

What is the mean score of the 20 students in the table below?

score                                     Number of students

90                                                     5

80                                                     9

70                                                     4

60                                                     2

78.5

400

The average test score of 15 students was 85. One score was dropped, changing the mean of the remaining scores to 86. What score was dropped?

71

Evaluating Algebraic Expressions.

100

If x=5 and y=3 what is the value of x^2/y^5

25/243

300

What is the value of y^3(34-2p +62) if y=3 and p=2?

2484

Solving Inequalities

100

How many positive, even integers satisfy the inequality 4n + 13 ≤ 69?

7

Compound Inequalities

100

4L is a number more than -24. 12 is greater than 4L. What is the range of possible values of L?

-6 < L < 3

200

If 2(a + m) = 5m - 3 + a, what is the value of a, in terms of m?

3m-3

500

The number L is a number less than -9. What is the range of possible values of 1/L^2?

0 < 1/L^2 < 1/81

Probability

100

In a drawer, there are 6 white socks, 5 blue socks, and 4 black socks. If one sock is pulled out at random, what is the probability that it will not be white?

3/5

200

There are 10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles in a box. If two marbles are drawn at random without replacement, what is the probability that both marbles removed are not blue?

7/20

300

From her drawer containing 3 pairs of black socks, 6 pairs of blue socks, 4 pairs of yellow socks, and 10 pairs of green socks. If she removes 1 more pair at random, what is the probability that it will be green?

8/19

400

A box contains 6 red index cards, 3 yellow index cards, and 4 green index cards. If Erica pulls out 2 cards at random from this box, without replacement, what is the probability that both cards are not green?

6/13