The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.

1. 20 – 2x

20 – x

20

20 + x

20 + 2x

What is the average (arithmetic mean) of the list of numbers above?

A. 20

B. 100

C. 20 + \( \frac{x}{5} \)

D. \( \frac{100}{x} \)

2.

A lapping slurry contains microbeads suspended in a solution and is used to polish a silicon wafer by abrasion of the surface. The distribution of the particle size, in micrometers, is shown above. If the particle size distribution ranges were changed to 0-20 micrometers and 21-40 micrometers, which of the following is the closest to the ratio of the number of 0-20 micrometer microbeads to the number of 21-40 micrometer microbeads?

A. 3:01

B. 4:01

C. 5:02

D. 9:01

3. Steve ran a 12-mile race at an average speed of 8 miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?

A. 12

B. 16

C. 24

D. 30

4.

The populations and areas of five countries are shown in the graphs above. If population density is defined as \( \frac{population}{area} \) , which of the five countries has the highest population density?

A. Ecuador

B. Uruguay

C. Venezuela

D. Chile

5. The amount of time that Amy walks is directly proportional to the distance that she walks. If she walks a distance of 2.5 miles in 50 minutes, how many miles will she walk in 2 hours?

A. 4.5

B. 5

C. 6

D. 6.5