SAT Math: Problem Solving and Data Analysis

A drone costs $280, but it goes on sale for $224. What is the percent change compared to the original price?

• increase of 20 percent

• increase of 25 percent

• decrease of 20 percent

• decrease of 25 percent

Brooklyn scored a 65 percent on a test, and on the re-take she scored a 91. By what percent did her score increase, compared to her original score?

• 13 percent

• 26 percent

• 28 percent

• 40 percent

A contestant in a singing competition receives scores of 8.8, 8.5, 9.8, and 9.3 from four judges. If she needs a 9.0 or higher to advance, what is the lowest score she can receive from the fifth and final judge to advance?

• 8.2

• 8.5

• 8.6

• 10

In the first 8 games, the basketball team scored the following number of points:

54, 48, 66, 71, 57, 52, 64, 59

What is the median number of points?

• 57

• 58

• 59

• 60

At the start of a card game, what is the chance that a player draws a king, keeps it in her hand, and then draws a second king? (Note: there are 52 cards in a deck, including 4 kings.)

• 1/169

• 1/221

• 4/663

• 12/51

To win a board game, a player needs to roll two dice (each six-sided) and have each show a six. What is the chance that the player will NOT roll two sixes?

• 1/36

• 1/6

• 11/12

• 35/36

A student counted the number of days she missed school each month of the school year. Below are the number of absences for the 11 months, August through June (rearranged from least to most):

0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 6

What is the mode?

• There is no mode

• 0

• 1

• 0 and 2

A student counted the number of days she missed school each month of the school year. Below are the number of absences for the 11 months, August through June (rearranged from least to most):

0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 6

What is the range?

• There is no range

• 0

• 3

• 6

A mother wants to know the average number of children per household in her neighborhood, which has 120 homes. To find out, she visits the local park and asks each parent how many children he or she has. She takes the average of the responses from the 30 parents she talked to, which was 2.0, and concludes that the average number of children per household in the neighborhood is 2. What comment can be made about her conclusion?

• Her method was reasonable, and her conclusion is valid

• The method was flawed because the sample size was too small

• The method was flawed because the sample was biased

• The method was reasonable because the average, 2, is a sensible number

Five students are auditioning for a role in a school play. As they wait in line off-stage, they debate how many different ways their line can be formed. How many different sequences are possible for these five students?