SAT Math: Problem Solving & Data Analysis Practice Quiz

Question 1

A class has 12 students who play soccer and 18 students who do not. What is the ratio of soccer players to total students in the class, in simplest form?

Accepted Answer

2:5

Question 2

A jacket's price decreases from $80 to $68. What is the percent decrease?

Accepted Answer

15%

Question 3

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is selected at random, what is the probability that it is blue?

Accepted Answer

3/10

Question 4

A school surveyed 180 students about whether they participate in a club.

Grade | In a Club | Not in a Club | Total
9th   | 40        | 20            | 60
10th  | 30        | 30            | 60
11th  | 50        | 10            | 60
Total | 120       | 60            | 180

If a student is selected at random from those who are in a club, what is the probability the student is in 11th grade?

Accepted Answer

5/12

Question 5

A data set is 4, 5, 5, 6, 30. If the value 30 is removed, which statement is true?

Accepted Answer

The mean decreases by 5, and the median stays the same.

Question 6

A machine fills 12 liters of liquid in 3 minutes at a constant rate. At the same rate, how many milliliters will it fill in 8 minutes?

Accepted Answer

32,000 mL

Question 7

A scatterplot of study hours (x) versus quiz score (y) shows a positive linear trend. The line of best fit is y = 4x + 10. Based on this model, what score is predicted for a student who studies 6 hours?

Accepted Answer

34

Question 8

A camera originally costs $200. Its price is increased by 20%, then discounted by 25%, then increased by 10%. What is the final price?

Accepted Answer

$198

Question 9

Survey A found that 48% of voters support a proposal, with a margin of error of ±3%. Survey B found 52% support, with a margin of error of ±4%. Which claim is best supported?

Accepted Answer

There is not enough evidence to conclude support differs because the intervals overlap.

Question 10

Machine A can complete a job in 4 hours, and Machine B can complete the same job in 6 hours. They work together for 1.5 hours, then Machine A stops. How many more hours does Machine B need to finish the job?

Accepted Answer

2.25 hours