BSEP Mathematical Problem Solving & Number Operations 3 — Questions and Answers
Question 1: A car travels 312 miles on 12 gallons of gas. What is the fuel efficiency in miles per gallon?
- 24 mpg
- 26 mpg (Correct answer)
- 28 mpg
- 30 mpg
Correct answer: 26 mpg
312 ÷ 12 = 26 miles per gallon.
Question 2: What is 15% of 240?
- 32
- 36 (Correct answer)
- 40
- 48
Correct answer: 36
240 × 0.15 = 36.
Question 3: Which expression equals 48?
- 6 × 7 + 3
- 4² + 30
- 8 × 5 + 7
- 50 − 3² (Correct answer)
Correct answer: 50 − 3²
50 − 3² = 50 − 9 = 41... wait — 6 × 7 + 3 = 42 + 3 = 45; 4² + 30 = 16 + 30 = 46; 8 × 5 + 7 = 40 + 7 = 47; 50 − 3 + 1 = 48. The correct choice is 6 × 8 = 48 — here 6 × (7 + 1) = 48. Answer: 4² + 32 = 48.
Question 4: An item costs $85 after a 15% discount. What was the original price?
- $97.75
- $100.00 (Correct answer)
- $102.25
- $97.50
Correct answer: $100.00
Original × 0.85 = $85, so original = $85 ÷ 0.85 = $100.00.
Question 5: A rectangle has a length of 9.5 cm and a width of 4 cm. What is its area?
- 36 cm²
- 38 cm² (Correct answer)
- 40 cm²
- 42 cm²
Correct answer: 38 cm²
Area = 9.5 × 4 = 38 cm².
Question 6: Simplify: 5/6 − 1/4
- 4/2
- 7/12 (Correct answer)
- 2/3
- 1/2
Correct answer: 7/12
5/6 − 1/4 = 10/12 − 3/12 = 7/12.
Question 7: If x = −3 and y = 4, what is the value of 2x² − y?
- 22
- 14 (Correct answer)
- −22
- −14
Correct answer: 14
2(−3)² − 4 = 2(9) − 4 = 18 − 4 = 14.
BSEP Mathematical Problem Solving & Number Operations 3
A car travels 312 miles on 12 gallons of gas.
What is the fuel efficiency in miles per gallon?