AMC 8 Fractions, Decimals & Percents 3

Question 1

What is 2 1/3 + 1 3/4?

Accepted Answer

4 1/12

Answer

7/3 + 7/4 = 28/12 + 21/12 = 49/12 = 4 1/12.

Question 2

A number increased by 20% equals 60. What is the original number?

Accepted Answer

50

Answer

1.2 × n = 60, so n = 60 ÷ 1.2 = 50.

Question 3

What is (3/4) ÷ (9/16)?

Accepted Answer

4/3

Answer

(3/4) ÷ (9/16) = (3/4) × (16/9) = 48/36 = 4/3.

Question 4

Expressed as a percent, what is 5/8?

Accepted Answer

62.5%

Answer

5 ÷ 8 = 0.625 = 62.5%.

Question 5

A jacket costs $24 after a 40% discount. What was the original price?

Accepted Answer

$40

Answer

The sale price is 60% of original, so original = $24 ÷ 0.6 = $40.

AMC 8 - American Mathematics Competition 8 Practice Test