IAAT Ratios and Proportional Reasoning 1 — Questions and Answers
Question 1: A recipe calls for 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar do you need?
- 4 cups
- 5 cups
- 6 cups (Correct answer)
- 7 cups
Correct answer: 6 cups
The ratio 3:2 scales by a factor of 3 when flour becomes 9, so sugar = 2 × 3 = 6 cups.
Question 2: The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many girls are there?
- 16
- 20
- 24
- 25 (Correct answer)
Correct answer: 25
If 4 parts = 20 boys, then 1 part = 5, so 5 parts (girls) = 25.
Question 3: Which of the following ratios is equivalent to 6:9?
- 2:4
- 2:3 (Correct answer)
- 3:6
- 4:5
Correct answer: 2:3
Dividing both 6 and 9 by 3 gives 2:3, which is the simplified form.
Question 4: A car travels 150 miles in 3 hours. At the same rate, how many miles will it travel in 5 hours?
- 200 miles
- 225 miles
- 250 miles (Correct answer)
- 300 miles
Correct answer: 250 miles
The rate is 150 ÷ 3 = 50 miles per hour; 50 × 5 = 250 miles.
Question 5: If 5 notebooks cost $7.50, what is the cost of 8 notebooks at the same rate?
- $10.00
- $11.50
- $12.00 (Correct answer)
- $13.50
Correct answer: $12.00
Unit cost = $7.50 ÷ 5 = $1.50 per notebook; 8 × $1.50 = $12.00.
Question 6: Two quantities x and y are proportional. When x = 4, y = 10. What is y when x = 6?
- 12
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
The constant of proportionality is 10 ÷ 4 = 2.5, so when x = 6, y = 6 × 2.5 = 15.
Question 7: A map has a scale of 1 inch : 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?
- 150 miles
- 165 miles
- 175 miles (Correct answer)
- 200 miles
Correct answer: 175 miles
3.5 inches × 50 miles per inch = 175 miles.
IAAT Ratios and Proportional Reasoning 1
A recipe calls for 3 cups of flour for every 2 cups of sugar.
If you use 9 cups of flour, how many cups of sugar do you need?