NCDAP Arithmetic 5 — Questions and Answers
Question 1: What is 3/7 ÷ 9/14?
- 2/3 (Correct answer)
- 27/98
- 3/14
- 6/7
Correct answer: 2/3
3/7 ÷ 9/14 = 3/7 × 14/9 = 42/63 = 2/3.
Question 2: A plumber charges $55 for the first hour and $40 for each additional hour. What is the total cost for 4 hours of work?
- $160
- $175 (Correct answer)
- $185
- $195
Correct answer: $175
$55 for the first hour plus 3 additional hours × $40 = $55 + $120 = $175.
Question 3: Which of the following is a prime number?
- 51
- 57
- 61 (Correct answer)
- 63
Correct answer: 61
61 has no factors other than 1 and itself, making it prime.
Question 4: What is 4.2 × 10³ written in standard form?
- 420
- 4,200 (Correct answer)
- 42,000
- 0.0042
Correct answer: 4,200
Multiplying by 10³ moves the decimal three places to the right: 4,200.
Question 5: A shirt costs $24 and a pair of pants costs $48. What percentage of the total cost is the shirt?
- 25%
- 33⅓% (Correct answer)
- 40%
- 50%
Correct answer: 33⅓%
Total = $72; 24/72 = 1/3 ≈ 33.33%.
Question 6: Evaluate: |−15| + |8 − 20|
- 3
- 27 (Correct answer)
- 7
- 23
Correct answer: 27
|−15| = 15 and |8 − 20| = |−12| = 12; 15 + 12 = 27.
Question 7: A 12-foot board is cut into pieces that are each 2⅔ feet long. How many complete pieces can be cut?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
12 ÷ 2⅔ = 12 ÷ (8/3) = 12 × (3/8) = 36/8 = 4.5, so 4 complete pieces.
