NCDAP Mathematical Operations & Problem Solving 5 — Questions and Answers
Question 1: What is the median of the data set: 7, 3, 12, 5, 9, 1, 8?
- 7 (Correct answer)
- 5
- 8
- 6
Correct answer: 7
Arranged in order: 1, 3, 5, 7, 8, 9, 12 — the middle value (4th) is 7.
Question 2: A plumber charges a $75 flat fee plus $55 per hour. If the total bill is $295, how many hours did the plumber work?
- 4 (Correct answer)
- 3
- 5
- 4.5
Correct answer: 4
$295 − $75 = $220 for labor, and $220 ÷ $55 = 4 hours.
Question 3: What is the greatest common factor (GCF) of 48 and 72?
- 24 (Correct answer)
- 12
- 36
- 8
Correct answer: 24
The factors of 48 and 72 include 24, which is the largest shared factor.
Question 4: Convert 3/8 to a percentage.
- 37.5% (Correct answer)
- 38%
- 35%
- 40%
Correct answer: 37.5%
3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.
Question 5: Two numbers have a sum of 50 and a difference of 14. What is the larger number?
- 32 (Correct answer)
- 18
- 36
- 28
Correct answer: 32
Using x + y = 50 and x − y = 14: adding gives 2x = 64, so x = 32.
Question 6: A triangle has a base of 10 cm and a height of 7 cm. What is its area?
- 35 cm² (Correct answer)
- 70 cm²
- 17 cm²
- 140 cm²
Correct answer: 35 cm²
Area of a triangle = ½ × base × height = ½ × 10 × 7 = 35 cm².
Question 7: If 40% of a number is 60, what is the number?
- 150 (Correct answer)
- 120
- 140
- 160
Correct answer: 150
0.40 × n = 60, so n = 60 ÷ 0.40 = 150.
NCDAP Mathematical Operations & Problem Solving 5
What is the median of the data set: 7, 3, 12, 5, 9, 1, 8?