Core Academic Skills Assessment Mathematics: Number and Quantity 2 — Questions and Answers
Question 1: Which of the following is equivalent to 3.6 × 10⁻⁴?
- 0.00036 (Correct answer)
- 0.0036
- 0.036
- 36000
Correct answer: 0.00036
Moving the decimal 4 places to the left gives 0.00036.
Question 2: A store marks up an item by 25% and then offers a 20% discount. What is the net percent change in price?
- 0% (Correct answer)
- 5% decrease
- 5% increase
- 45% increase
Correct answer: 0%
1.25 × 0.80 = 1.00, so the final price equals the original — a 0% net change.
Question 3: Which number is irrational?
- √7 (Correct answer)
- √9
- 0.333…
- 4/5
Correct answer: √7
√7 cannot be expressed as a ratio of integers, making it irrational.
Question 4: If a car travels 270 miles in 4.5 hours, what is its average speed in miles per hour?
- 60 mph (Correct answer)
- 55 mph
- 65 mph
- 70 mph
Correct answer: 60 mph
270 ÷ 4.5 = 60 mph.
Question 5: What is the value of |−15| + |−8| − |6|?
- 17 (Correct answer)
- −17
- 29
- −1
Correct answer: 17
15 + 8 − 6 = 17.
Question 6: A recipe calls for 2⅓ cups of flour. If you want to make 1.5 times the recipe, how many cups do you need?
- 3½ cups (Correct answer)
- 3¼ cups
- 3 cups
- 4 cups
Correct answer: 3½ cups
2⅓ × 1.5 = 7/3 × 3/2 = 7/2 = 3½ cups.
Question 7: Which list of numbers is ordered from least to greatest?
- −3, −1.5, 0, 0.5, 2 (Correct answer)
- −1.5, −3, 0, 0.5, 2
- 0, −1.5, −3, 0.5, 2
- 2, 0.5, 0, −1.5, −3
Correct answer: −3, −1.5, 0, 0.5, 2
On a number line, −3 < −1.5 < 0 < 0.5 < 2.
Core Academic Skills Assessment Mathematics: Number and Quantity 2
Which of the following is equivalent to 3.6 × 10⁻⁴?