NCDAP Mathematical Operations & Problem Solving 4

Question 1

A bag contains 4 red, 6 blue, and 2 green marbles. What is the probability of randomly picking a blue marble?

Accepted Answer

1/2

Answer

There are 6 blue out of 12 total marbles, so probability = 6/12 = 1/2.

Question 2

Evaluate: |−15| + |−8|

Accepted Answer

23

Answer

Absolute values are always positive: 15 + 8 = 23.

Question 3

A tank holds 120 gallons and is 3/4 full. How many gallons are currently in the tank?

Accepted Answer

90

Answer

3/4 × 120 = 90 gallons are in the tank.

Question 4

If the average of 5 test scores is 82, what is the total sum of all 5 scores?

Accepted Answer

410

Answer

Average = sum ÷ count, so sum = 82 × 5 = 410.

Question 5

What is 2,400 ÷ 0.06?

Accepted Answer

40,000

Answer

2,400 ÷ 0.06 = 2,400 × (100/6) = 40,000.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test