NCDAP Mathematical Operations & Problem Solving 3

Question 1

A car travels 270 miles on 9 gallons of gas. How many miles per gallon does the car get?

Accepted Answer

30

Answer

270 ÷ 9 = 30 miles per gallon.

Question 2

Solve for x: 5x − 7 = 28

Accepted Answer

7

Answer

5x = 35, so x = 7.

Question 3

A rectangular garden measures 12 feet by 8 feet. What is its area in square feet?

Accepted Answer

96

Answer

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?

Accepted Answer

24

Answer

3/8 × 64 = 24 students play a sport.

Question 5

What is the least common multiple (LCM) of 6 and 9?

Accepted Answer

18

Answer

The multiples of 6 are 6, 12, 18… and of 9 are 9, 18…, so LCM = 18.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test