NCDAP Arithmetic 5

Question 1

What is 3/7 ÷ 9/14?

Accepted Answer

2/3

Answer

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?

Accepted Answer

$175

Answer

$55 for the first hour plus 3 additional hours × $40 = $55 + $120 = $175.

Question 3

Which of the following is a prime number?

Accepted Answer

61

Answer

61 has no factors other than 1 and itself, making it prime.

Question 4

What is 4.2 × 10³ written in standard form?

Accepted Answer

4,200

Answer

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?

Accepted Answer

33⅓%

Answer

Total = $72; 24/72 = 1/3 ≈ 33.33%.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test