Core Academic Skills Assessment Mathematics: Number and Quantity 5 — Questions and Answers
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?
- $41 (Correct answer)
- $40
- $42
- $45
Correct answer: $41
35 + 0.05 × 120 = 35 + 6 = $41.
Question 2: What is the prime factorization of 180?
- 2² × 3² × 5 (Correct answer)
- 2 × 3 × 5²
- 2³ × 3 × 5
- 2² × 3 × 5²
Correct answer: 2² × 3² × 5
180 = 4 × 45 = 2² × 9 × 5 = 2² × 3² × 5.
Question 3: What is the result of −6 × (−4) ÷ (−8)?
- −3 (Correct answer)
- 3
- −12
- 12
Correct answer: −3
−6 × −4 = 24, then 24 ÷ (−8) = −3.
Question 4: Which of the following correctly converts 5/8 to a percent?
- 62.5% (Correct answer)
- 58%
- 60%
- 65%
Correct answer: 62.5%
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?
- 4 (Correct answer)
- 1
- 3.5
- 4.5
Correct answer: 4
Distance = |1.5 − (−2.5)| = |4| = 4.
Question 6: Which property is illustrated by 7 × (3 + 4) = 7 × 3 + 7 × 4?
- Distributive property (Correct answer)
- Commutative property
- Associative property
- Identity property
Correct answer: Distributive property
Multiplying a factor across an addition inside parentheses demonstrates the distributive property.
Question 7: A car used 2.5 gallons of gas to travel 87.5 miles. How many miles per gallon did it get?
- 35 mpg (Correct answer)
- 30 mpg
- 40 mpg
- 25 mpg
Correct answer: 35 mpg
87.5 ÷ 2.5 = 35 miles per gallon.
Core Academic Skills Assessment Mathematics: Number and Quantity 5
A phone plan costs $35 per month plus $0.05 per text.
If Maria sends 120 texts, what is her total monthly bill?