College Math Placement Test Arithmetic 5 — Questions and Answers
Question 1: What is the value of √(144/25)?
- 12/5 (Correct answer)
- 24/5
- 6/5
- 7/5
Correct answer: 12/5
√(144/25) = √144 / √25 = 12/5.
Question 2: If 3 pounds of apples cost $4.50, how much do 7 pounds cost?
- $10.00
- $10.50 (Correct answer)
- $9.50
- $11.00
Correct answer: $10.50
Unit price = $4.50 ÷ 3 = $1.50/lb; 7 × $1.50 = $10.50.
Question 3: What is −(−4)²?
- 16
- −16 (Correct answer)
- 8
- −8
Correct answer: −16
(−4)² = 16, and then the leading negative sign gives −16.
Question 4: Which fraction is largest?
- 7/10
- 2/3
- 3/4 (Correct answer)
- 5/7
Correct answer: 3/4
Converting to decimals: 7/10=0.70, 2/3≈0.667, 3/4=0.75, 5/7≈0.714; 0.75 is largest.
Question 5: A tank holds 120 gallons. It is currently 5/8 full. How many gallons are in the tank?
- 70
- 75 (Correct answer)
- 80
- 85
Correct answer: 75
5/8 × 120 = 600/8 = 75 gallons.
Question 6: Simplify: 18 ÷ 3 + 4 × 2 − 1
- 13 (Correct answer)
- 15
- 11
- 17
Correct answer: 13
Using order of operations: 18÷3=6, 4×2=8, then 6+8−1=13.
Question 7: Two numbers have a ratio of 3:5. If their sum is 72, what is the larger number?
- 27
- 40
- 45 (Correct answer)
- 30
Correct answer: 45
Total parts = 3+5=8; larger number = (5/8)×72 = 45.
College Math Placement Test Arithmetic 5
What is the value of √(144/25)?