FAST Mathematical: Ratios and Proportional Relationships 1 — Questions and Answers
Question 1: A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 8 cups of flour, how many cups of sugar are needed?
- 10 cups
- 11 cups
- 12 cups (Correct answer)
- 9 cups
Correct answer: 12 cups
The ratio is 2:3, so 8 ÷ 2 × 3 = 12 cups of sugar.
Question 2: A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?
- 45 mph
- 50 mph (Correct answer)
- 55 mph
- 60 mph
Correct answer: 50 mph
150 miles ÷ 3 hours = 50 miles per hour.
Question 3: Which equation represents a proportional relationship between x and y?
- y = 2x + 1
- y = 3x (Correct answer)
- y = x squared plus 2
- y = x divided by 2 plus 3
Correct answer: y = 3x
A proportional relationship has the form y = kx passing through the origin; y = 3x satisfies this.
Question 4: On a map, 1 inch represents 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 75 miles
- 80 miles
- 87.5 miles (Correct answer)
- 100 miles
Correct answer: 87.5 miles
3.5 inches × 25 miles per inch = 87.5 miles.
Question 5: If 4 notebooks cost $12.00, how much would 7 notebooks cost at the same rate?
- $18.00
- $21.00 (Correct answer)
- $24.00
- $28.00
Correct answer: $21.00
The unit rate is $12 ÷ 4 = $3 per notebook; 7 × $3 = $21.
Question 6: A store is offering 30% off all items. If a jacket originally costs $80, what is the sale price?
- $50.00
- $54.00
- $56.00 (Correct answer)
- $60.00
Correct answer: $56.00
30% of $80 = $24 discount; $80 minus $24 = $56.
Question 7: The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?
- 30
- 35
- 40 (Correct answer)
- 45
Correct answer: 40
24 boys ÷ 3 parts × 5 parts = 40 girls.
FAST Mathematical: Ratios and Proportional Relationships 1
A recipe calls for 2 cups of flour for every 3 cups of sugar.
If you use 8 cups of flour, how many cups of sugar are needed?