College Math Placement Test Pre-Algebra 5 — Questions and Answers
Question 1: What is the perimeter of a rectangle with length 9 cm and width 5 cm?
- 14 cm
- 28 cm (Correct answer)
- 45 cm
- 18 cm
Correct answer: 28 cm
Perimeter = 2(length + width) = 2(9 + 5) = 2(14) = 28 cm.
Question 2: Evaluate: 3 + 4 × 2 − 1
- 13
- 14
- 10 (Correct answer)
- 8
Correct answer: 10
Following order of operations: 4 × 2 = 8 first, then 3 + 8 − 1 = 10.
Question 3: A jar contains 5 red, 3 blue, and 2 green marbles. What is the probability of randomly picking a blue marble?
- 1/5
- 3/10 (Correct answer)
- 1/3
- 3/5
Correct answer: 3/10
There are 3 blue marbles out of 10 total, so the probability is 3/10.
Question 4: Which property is illustrated by: 7 × (3 + 4) = 7 × 3 + 7 × 4?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states a(b + c) = ab + ac, which is exactly what is shown.
Question 5: What is 2/3 ÷ 4/9?
- 8/27
- 3/2 (Correct answer)
- 6/12
- 2/27
Correct answer: 3/2
Dividing by a fraction means multiplying by its reciprocal: 2/3 × 9/4 = 18/12 = 3/2.
Question 6: If the area of a square is 49 cm², what is the length of one side?
- 5 cm
- 6 cm
- 7 cm (Correct answer)
- 8 cm
Correct answer: 7 cm
Area of a square = side², so side = √49 = 7 cm.
Question 7: What is the next number in the pattern: 3, 6, 12, 24, ___?
- 36
- 42
- 48 (Correct answer)
- 30
Correct answer: 48
Each term is multiplied by 2: 24 × 2 = 48.
College Math Placement Test Pre-Algebra 5
What is the perimeter of a rectangle with length 9 cm and width 5 cm?