Core Academic Skills Assessment Mathematics: Number and Quantity 4 — Questions and Answers
Question 1: Which expression is equivalent to (2³)²?
- 64 (Correct answer)
- 12
- 16
- 32
Correct answer: 64
(2³)² = 2⁶ = 64.
Question 2: A jacket originally costs $120 and is on sale for $84. What is the percent discount?
- 30% (Correct answer)
- 25%
- 36%
- 40%
Correct answer: 30%
(120 − 84) / 120 = 36/120 = 0.30 = 30%.
Question 3: Which of the following is a perfect cube?
- 125 (Correct answer)
- 36
- 16
- 100
Correct answer: 125
125 = 5³, making it a perfect cube.
Question 4: Which inequality represents all numbers within 3 units of 7 on a number line?
- |x − 7| < 3 (Correct answer)
- |x + 7| < 3
- |x − 3| < 7
- |x| < 10
Correct answer: |x − 7| < 3
'Within 3 units of 7' means the distance from x to 7 is less than 3, written |x − 7| < 3.
Question 5: If the exchange rate is $1 = 0.92 euros, how many dollars are equivalent to 46 euros?
- $50 (Correct answer)
- $42.32
- $47.12
- $52
Correct answer: $50
46 ÷ 0.92 = 50, so 46 euros equals $50.
Question 6: What is the value of (−2)⁴ − (−3)²?
- 7 (Correct answer)
- −7
- 25
- 1
Correct answer: 7
(−2)⁴ = 16 and (−3)² = 9; 16 − 9 = 7.
Question 7: Which of the following has the greatest value?
- 3/8 + 0.4 (Correct answer)
- 0.6 × 2/3
- 1/2 − 0.1
- 0.8 − 3/8
Correct answer: 3/8 + 0.4
3/8 + 0.4 = 0.375 + 0.4 = 0.775, which is the largest of the four.
Core Academic Skills Assessment Mathematics: Number and Quantity 4
Which expression is equivalent to (2³)²?