AST Mathematics

Question 1

What is the value of x in the equation 3x + 12 = 33?

Accepted Answer

7

Answer

Subtracting 12 from both sides gives 3x = 21, so x = 7.

Question 2

A rectangle has a length of 14 cm and a width of 6 cm. What is its area?

Accepted Answer

84 cm²

Answer

Area of a rectangle = length × width = 14 × 6 = 84 cm².

Question 3

Which of the following is equivalent to 2/5 as a percentage?

Accepted Answer

40%

Answer

2 ÷ 5 = 0.40, which equals 40%.

Question 4

If f(x) = 2x² - 3, what is f(4)?

Accepted Answer

29

Answer

f(4) = 2(4²) - 3 = 2(16) - 3 = 32 - 3 = 29.

Question 5

What is the slope of the line passing through points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.

AST - ACT Scaling Test Practice Test