BMST - Basic Math and Science Ratios, Proportions, and Percentages Questions and Answers 5 — Questions and Answers
Question 1: A worker earns $18 per hour. After a 12% raise, what is the new hourly wage?
- $19.80
- $20.00
- $20.16 (Correct answer)
- $20.52
Correct answer: $20.16
Raise = 12% × $18 = $2.16; new wage = $18 + $2.16 = $20.16.
Question 2: The ratio of red to blue marbles is 5:4. If there are 36 marbles total, how many are red?
- 16
- 18
- 20 (Correct answer)
- 22
Correct answer: 20
Total parts = 9; red = 5/9 × 36 = 20 marbles.
Question 3: 15 is what percent of 60?
- 20%
- 25% (Correct answer)
- 30%
- 35%
Correct answer: 25%
15 / 60 × 100 = 0.25 × 100 = 25%.
Question 4: A chemical solution requires a 1:4 ratio of acid to water. How many liters of acid are needed to make 25 liters of solution?
- 4 liters
- 5 liters (Correct answer)
- 6 liters
- 7 liters
Correct answer: 5 liters
Acid = 1/(1+4) × 25 = 1/5 × 25 = 5 liters.
Question 5: If 30% of a number is 24, what is 50% of the same number?
- 35
- 40 (Correct answer)
- 45
- 50
Correct answer: 40
The number = 24 / 0.30 = 80; 50% of 80 = 40.
Question 6: A tank is 40% full and contains 120 gallons. What is the total capacity of the tank?
- 240 gallons
- 280 gallons
- 300 gallons (Correct answer)
- 320 gallons
Correct answer: 300 gallons
120 = 40% × capacity → capacity = 120 / 0.40 = 300 gallons.
Question 7: Two numbers are in the ratio 7:3. If the larger number is 56, what is the smaller number?
- 18
- 21
- 24 (Correct answer)
- 27
Correct answer: 24
7 parts = 56, so 1 part = 8; the smaller number = 3 × 8 = 24.
A worker earns $18 per hour.
After a 12% raise, what is the new hourly wage?