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. In a certain sporting goods manufacturing company, a quality control expert tests a randomly selected group of 1,000 tennis balls in order to determine how many contain defects. If this quality control expert discovered that 13 of the randomly selected tennis balls were defective, which of the following inferences would be most supported?

A. 98.7% of the company’s tennis balls are defective

B. 98.7% of the company’s tennis balls are not defective

C. 9.87% of the company’s tennis balls are defective

D. 9.87% of the company’s tennis balls are not defective

2. If \( -\frac{20}{7} \) < -3z + 6 < \( -\frac{11}{5} \) , what is the greatest possible integer value of 9z – 18 ?

A. 6

B. 7

C. 8

D. 9

3. -24 – 8j = 12k

3 + \( \frac{5}{3}k \) = \( -\frac{7}{6}j \)

Which of the following ordered pairs (j, k) is the solution to the system of equations above?

A. (6, -6)

B. (3, 0)

C. (0, 2)

D. (-4, 1)

4. United States Investment in Alternative Energy Sources

The table above shows the relative investment in alternative energy sources in the United States by type. One column shows the relative investment in 2007 of $75 million total invested in alternative energy. The other column shows the projected relative investment in 2017 given current trends. The total projected investment in alternative energy in 2017 is $254 million. Suppose that a new source of alternative energy, Cold Fusion, is perfected. It is projected that by 2017 that $57 million will be invested in Cold Fusion in the United States, without any corresponding reduction in investment for any other form of alternative energy. What portion of the total investment of alternative energy in the United States will be spent on biofuels?

A. 0.18

B. 0.22

C. 0.28

D. 0.34

5. (x – 2)² + y² = 36

y = -x + 2

The equations above represent a circle and a line that intersects the circle across its diameter. What is the point of intersection of the two equations that lies in quadrant II?