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SAT Math Practice Test: Problem Solving & Data Analysis

SAT Practice Test

SAT

English

SAT Math Practice Test: Problem Solving & Data Analysis

Question 1

A recipe for a fruit smoothie requires 2 cups of strawberries for every 3 cups of bananas. If a batch of the smoothie uses 12 cups of bananas, how many cups of strawberries are needed?

A. 6

B. 8

C. 10

D. 18

Question 2

A store buys a shirt for \$20 and marks it up by 60%. After a month, the shirt does not sell, so the store discounts the marked-up price by 25%. What is the final price of the shirt?

A. \$23.00

B. \$24.00

C. \$25.00

D. \$27.00

Question 3

A scatterplot shows the relationship between the number of hours a student studied for a test and their score on the test. The line of best fit is given by the equation

, where $y$ is the test score and $x$ is the number of hours studied. What is the best interpretation of the slope of the line of best fit?

A. A student who doesn't study is predicted to score 65.

B. For each additional hour a student studies, their score is predicted to increase by 5.2 points.

C. For each additional point on the test, a student studied 5.2 more hours.

D. The maximum possible score on the test is 65.

Question 4

The table below shows the distribution of 200 people surveyed based on their housing and pet ownership. If one person is selected at random from those surveyed, what is the probability that the person lives in an apartment and has no pet?

	Has Pet	No Pet	Total
Lives in House	68	22	90
Lives in Apt	35	75	110
Total	103	97	200

A. 35/200

B. 75/200

C. 75/110

D. 75/97

Question 5

A car is traveling at a speed of 90 kilometers per hour. Given that 1 kilometer is approximately 0.621 miles, what is the car's speed in miles per minute, rounded to the nearest tenth?

A. 0.9

B. 1.5

C. 55.9

D. 145.2

Question 6

A water tank is being filled at a constant rate. The tank initially contains 50 gallons of water. After 10 minutes, the tank contains 120 gallons of water. Which equation models the amount of water

, in gallons, in the tank after $t$ minutes?

Question 7

A researcher wants to estimate the average number of books read per year by adults in a large city. Which of the following sampling methods is most likely to produce a representative sample of this population?

A. Surveying 500 people at a popular bookstore.

B. Emailing a survey to 500 employees of a large tech company in the city.

C. Randomly selecting 500 residential addresses in the city and surveying one adult at each address.

D. Asking for volunteers to take an online survey advertised on social media.

Question 8

The price of a stock increased by 20% in January. In February, the price decreased by 20%. The final price at the end of February was what percent of the initial price at the beginning of January?

A. 96%

B. 98%

C. 100%

D. 104%

Question 9

A survey asked 1,000 randomly selected high school students about their primary mode of transportation to school. 45% reported taking the bus, 30% were driven by parents, 15% walked, and the rest drove themselves. If the city has a total of 24,000 high school students, what is the best estimate for the number of students who drive themselves to school?

A. 1,000

B. 2,400

C. 3,600

D. 6,000

Question 10

An online poll surveyed 800 likely voters and found that 55% plan to vote for Candidate A. The margin of error for the survey was

. Which of the following is a plausible value for the total number of votes Candidate A will receive if 200,000 people vote in the election?

A. 101,000

B. 110,000

C. 118,000

D. 120,000

Question 11

The number of bacteria in a colony doubles every 4 hours. If the initial number of bacteria is 500, which function

models the number of bacteria after $t$ hours?

Question 12

The table shows the population of a town in thousands for selected years. Which of the following statements best describes the relationship between the year and the population?

Year	Population (thousands)
2010	50.0
2015	57.5
2020	66.1
2025	76.0

A. The population is increasing linearly by approximately 1,700 people per year.

B. The population is increasing exponentially by approximately 15% every 5 years.

C. The population is increasing linearly by a constant amount every 5 years.

D. The population is increasing exponentially by approximately 30% every 10 years.

Question 13

A data set consists of 9 distinct integers. The median is 20, and the range is 15. If the maximum value is 28, what is the minimum value?

A. 5

B. 13

C. 15

D. 20

Question 14

Two classes, Class A and Class B, took the same test. Class A has 20 students and their scores have a mean of 80 and a standard deviation of 5. Class B has 30 students and their scores have a mean of 80 and a standard deviation of 10. If the two classes are combined into one group of 50 students, which of the following statements about the mean and standard deviation of the combined scores is true?

A. The mean will be 80 and the standard deviation will be less than 5.

B. The mean will be 80 and the standard deviation will be greater than 5.

C. The mean will be greater than 80 and the standard deviation will be 7.

D. The mean will be 80 and the standard deviation will be 7.

Question 15

A cartographer is creating a map with a scale of 1 inch to 2.5 miles. The distance between two cities on the map is 6.4 inches. What is the actual distance between the two cities in miles?

A. 2.56

B. 8.9

C. 16

D. 25.6

Question 16

At a technology conference, 40% of attendees are software developers. Of the software developers, 70% use Python. Of the attendees who are not software developers, 20% use Python. If an attendee is selected at random, what is the probability that this person uses Python?

A. 0.28

B. 0.40

C. 0.45

D. 0.90

Question 17

A scatterplot shows the relationship between the number of employees,

, at a company and the company's annual revenue,

, in millions of dollars. The line of best fit is given by the equation

. One company with 200 employees has an actual revenue of \$28 million. What is the difference between the company's actual revenue and the revenue predicted by the line of best fit, in millions of dollars?

A. 1.5

B. 2.5

C. 3.5

D. 25.5

Question 18

The ratio of boys to girls in a school choir is 4 to 5. If there are 36 students in the choir, how many are girls?

A. 16

B. 20

C. 21

D. 24

Question 19

A pharmaceutical company developed a new drug to reduce cholesterol. To test its effectiveness, 200 volunteers with high cholesterol were recruited. 100 volunteers were randomly assigned to receive the new drug, and the other 100 were assigned to receive a placebo. After three months, the average cholesterol reduction in the drug group was significantly greater than in the placebo group. Based on this study, which of the following is an appropriate conclusion?

A. The new drug will cause a reduction in cholesterol for anyone with high cholesterol.

B. For the volunteers in the study, taking the new drug is associated with but does not cause lower cholesterol.

C. For individuals similar to those in the study, the new drug is likely to cause a reduction in cholesterol.

D. Any person with high cholesterol will experience a greater cholesterol reduction with the new drug than with a placebo.

Question 20

A bag contains 12 red marbles, 8 blue marbles, and 5 green marbles. If a marble is drawn from the bag at random, what is the probability that the marble is NOT blue?

A. 8/25

B. 12/25

C. 17/25

D. 20/25