Core Academic Skills Assessment Mathematics: Number and Quantity 5

Question 1

A phone plan costs $35 per month plus $0.05 per text. If Maria sends 120 texts, what is her total monthly bill?

Accepted Answer

$41

Answer

35 + 0.05 × 120 = 35 + 6 = $41.

Question 2

What is the prime factorization of 180?

Accepted Answer

2² × 3² × 5

Answer

180 = 4 × 45 = 2² × 9 × 5 = 2² × 3² × 5.

Question 3

What is the result of −6 × (−4) ÷ (−8)?

Accepted Answer

−3

Answer

−6 × −4 = 24, then 24 ÷ (−8) = −3.

Question 4

Which of the following correctly converts 5/8 to a percent?

Accepted Answer

62.5%

Answer

5 ÷ 8 = 0.625 = 62.5%.

Question 5

A number line shows point P at −2.5 and point Q at 1.5. What is the distance between P and Q?

Accepted Answer

4

Answer

Distance = |1.5 − (−2.5)| = |4| = 4.

Core Academic Skills Assessment Practice Test