NCDAP Mathematical Operations & Problem Solving 3 — Questions and Answers
Question 1: A car travels 270 miles on 9 gallons of gas. How many miles per gallon does the car get?
- 30 (Correct answer)
- 27
- 25
- 35
Correct answer: 30
270 ÷ 9 = 30 miles per gallon.
Question 2: Solve for x: 5x − 7 = 28
- 7 (Correct answer)
- 6
- 8
- 5
Correct answer: 7
5x = 35, so x = 7.
Question 3: A rectangular garden measures 12 feet by 8 feet. What is its area in square feet?
- 96 (Correct answer)
- 40
- 80
- 48
Correct answer: 96
Area = length × width = 12 × 8 = 96 square feet.
Question 4: If 3 out of every 8 students in a class play a sport, and there are 64 students total, how many play a sport?
- 24 (Correct answer)
- 21
- 27
- 18
Correct answer: 24
3/8 × 64 = 24 students play a sport.
Question 5: What is the least common multiple (LCM) of 6 and 9?
- 18 (Correct answer)
- 54
- 36
- 12
Correct answer: 18
The multiples of 6 are 6, 12, 18… and of 9 are 9, 18…, so LCM = 18.
Question 6: A shirt originally costs $45 and is on sale for 20% off. What is the sale price?
- $36 (Correct answer)
- $38
- $40
- $34
Correct answer: $36
20% of $45 = $9 discount, so $45 − $9 = $36.
Question 7: Which expression represents 'four less than twice a number n'?
- 2n − 4 (Correct answer)
- 4 − 2n
- 2(n − 4)
- 4n − 2
Correct answer: 2n − 4
'Twice a number' is 2n, and 'four less than' means subtract 4, giving 2n − 4.
NCDAP Mathematical Operations & Problem Solving 3
A car travels 270 miles on 9 gallons of gas.
How many miles per gallon does the car get?