2024 SAT Test Math Practice 12


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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. ​\( \frac{100}{x} \)

Correct Answer: A

Answer Explanation:

Variables in the answers? Plug in! Make up a value for x. Let’s say that x is 3. The list of numbers then becomes 20 – 2(3), 20 – 3, 20, 20 + 3, 20 + 2(3), so the list is 14, 17, 20, 23, and 26. To find the average, make an average pie: We know the number of things (5) and the total (14 + 17 + 20 + 23 + 26 = 100), so the average is 100 ÷ 5 = 20, which is (A).

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2.

Sat math 22 1

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

Correct Answer: B

Answer Explanation:

In the new groupings, 79% of the particles are in the 0-20 micrometer grouping (33% + 46% = 79%) and 21% of the particles are in the 21-40 micrometer grouping (16% + 5%) = 21%. That is a ratio of 79:21. Because the question is asking for the closest ratio, round the numbers to get a ratio of 80:20, or 4:1. The correct answer is (B).

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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

Correct Answer: D

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4.

Sat math 22 2

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

Correct Answer: A

Answer Explanation:

Sat math 22 3

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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

Correct Answer: C

Answer Explanation:

Since we know the time that Amy walked and the distance she walked are directly proportional, we can set up a proportion to show her distance ÷ time. We want to know how many miles she’ll walk in two hours, so put 120 (60 × 2) minutes in the second half of the ratio: ​\( \frac{2.5}{50}=\frac{x}{120} \)​= . To solve, cross-multiply, and you’ll get 50x = 2.5 × 120; 50x = 300; x = 6 miles, which is (C).

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