Core Academic Skills Assessment Mathematics: Number and Quantity

Question 1

Which of the following is equivalent to 3.6 × 10⁻⁴?

Accepted Answer

0.00036

Answer

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?

Accepted Answer

0%

Answer

1.25 × 0.80 = 1.00, so the final price equals the original — a 0% net change.

Question 3

Which number is irrational?

Accepted Answer

√7

Answer

√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?

Accepted Answer

60 mph

Answer

270 ÷ 4.5 = 60 mph.

Question 5

What is the value of |−15| + |−8| − |6|?

Accepted Answer

17

Answer

15 + 8 − 6 = 17.

Core Academic Skills Assessment Practice Test