College Math Placement Test College Math Placement Basic Math 5 — Questions and Answers
Question 1: If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?
- 32
- 36
- 40 (Correct answer)
- 48
Correct answer: 40
If 3 parts = 24 boys, then 1 part = 8; 5 parts × 8 = 40 girls.
Question 2: Simplify: −5 − (−12)
- −17
- −7
- 7 (Correct answer)
- 17
Correct answer: 7
Subtracting a negative is the same as adding: −5 − (−12) = −5 + 12 = 7.
Question 3: What is 3/8 expressed as a decimal?
- 0.325
- 0.375 (Correct answer)
- 0.38
- 0.4
Correct answer: 0.375
3 ÷ 8 = 0.375.
Question 4: A tank holds 500 liters. It is currently 40% full. How many liters are needed to fill it completely?
- 200 liters
- 250 liters
- 300 liters (Correct answer)
- 350 liters
Correct answer: 300 liters
40% of 500 = 200 liters already in the tank; 500 − 200 = 300 liters needed.
Question 5: What is the value of 2⁵ − 3²?
- 14
- 16
- 23 (Correct answer)
- 25
Correct answer: 23
2⁵ = 32 and 3² = 9; 32 − 9 = 23.
Question 6: A number is increased by 20% and the result is 84. What was the original number?
- 64
- 68
- 70 (Correct answer)
- 72
Correct answer: 70
If 120% of the original = 84, then the original = 84 ÷ 1.20 = 70.
Question 7: Which of the following decimals is equivalent to 7/20?
- 0.035
- 0.35 (Correct answer)
- 0.7
- 0.72
Correct answer: 0.35
7/20 = 7 ÷ 20 = 0.35.
If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?