AMC 8 Fractions, Decimals & Percents 2 — Questions and Answers
Question 1: Which correctly orders 3/5, 7/10, and 0.65 from least to greatest?
- 3/5, 0.65, 7/10 (Correct answer)
- 7/10, 0.65, 3/5
- 0.65, 7/10, 3/5
- 3/5, 7/10, 0.65
Correct answer: 3/5, 0.65, 7/10
Converting to decimals: 3/5 = 0.60, 0.65, 7/10 = 0.70, so the order is 3/5 < 0.65 < 7/10.
Question 2: A shirt costs $30 after a 25% discount. What was the original price?
- $37.50
- $40.00 (Correct answer)
- $45.00
- $50.00
Correct answer: $40.00
The sale price is 75% of the original, so original = $30 ÷ 0.75 = $40.
Question 3: What is (1/2) × (3/4) × (4/5)?
- 3/10 (Correct answer)
- 2/5
- 6/25
- 1/2
Correct answer: 3/10
(1 × 3 × 4) / (2 × 4 × 5) = 12/40 = 3/10.
Question 4: What is 3.6 ÷ 0.4?
- 0.9
- 9 (Correct answer)
- 90
- 0.09
Correct answer: 9
3.6 ÷ 0.4 = 36 ÷ 4 = 9.
Question 5: A student scored 18 out of 24 on a test. What percentage did they score?
- 65%
- 70%
- 72%
- 75% (Correct answer)
Correct answer: 75%
18/24 = 3/4 = 75%.
Question 6: What is the reciprocal of 2/5?
- 5/2 (Correct answer)
- 2/5
- 5/10
- 2/10
Correct answer: 5/2
The reciprocal of 2/5 is 5/2, obtained by swapping numerator and denominator.
AMC 8 Fractions, Decimals & Percents 2
Which correctly orders 3/5, 7/10, and 0.65 from least to greatest?