NCDAP Mathematical Operations & Problem Solving 5

Question 1

What is the median of the data set: 7, 3, 12, 5, 9, 1, 8?

Accepted Answer

7

Answer

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?

Accepted Answer

4

Answer

$295 − $75 = $220 for labor, and $220 ÷ $55 = 4 hours.

Question 3

What is the greatest common factor (GCF) of 48 and 72?

Accepted Answer

24

Answer

The factors of 48 and 72 include 24, which is the largest shared factor.

Question 4

Convert 3/8 to a percentage.

Accepted Answer

37.5%

Answer

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?

Accepted Answer

32

Answer

Using x + y = 50 and x − y = 14: adding gives 2x = 64, so x = 32.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test