College Math Placement Test Arithmetic 4

Question 1

A number is decreased by 40% and the result is 48. What was the original number?

Accepted Answer

80

Answer

If x × (1 − 0.40) = 48, then x × 0.60 = 48, so x = 48 / 0.60 = 80.

Question 2

Simplify: (3/4 + 1/6) × 12

Accepted Answer

11

Answer

3/4 + 1/6 = 9/12 + 2/12 = 11/12; (11/12) × 12 = 11.

Question 3

What is the median of the data set: 3, 7, 7, 2, 9, 4, 1?

Accepted Answer

4

Answer

Ordered: 1, 2, 3, 4, 7, 7, 9; the middle (4th) value is 4.

Question 4

Which expression is equivalent to 2⁵ × 2³?

Accepted Answer

2⁸

Answer

When multiplying powers with the same base, add exponents: 2⁵ × 2³ = 2⁸.

Question 5

Sam earns $15/hour and works 38 hours per week. How much does he earn in 4 weeks?

Accepted Answer

$2,280

Answer

Weekly earnings = 15 × 38 = $570; over 4 weeks: 570 × 4 = $2,280.

College Math Placement Test Practice Test