Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 1 — Questions and Answers
Question 1: A car travels 315 miles on 9 gallons of gas. At this rate, how many miles can the car travel on 15 gallons?
- 420
- 490
- 525 (Correct answer)
- 560
Correct answer: 525
The unit rate is 315 ÷ 9 = 35 miles per gallon; 35 × 15 = 525 miles.
Question 2: A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker uses 15 cups of flour, how many cups of sugar are needed?
- 8
- 9
- 10 (Correct answer)
- 12
Correct answer: 10
The flour-to-sugar ratio is 3:2, so sugar = (2/3) × 15 = 10 cups.
Question 3: A train travels at 90 kilometers per hour. How many meters does it travel in 40 seconds? (1 km = 1,000 m; 1 hour = 3,600 seconds)
- 750 m
- 1,000 m (Correct answer)
- 1,250 m
- 1,500 m
Correct answer: 1,000 m
90 km/hr = 90,000 m / 3,600 s = 25 m/s; 25 × 40 = 1,000 m.
Question 4: A map uses a scale of 1 inch = 25 miles. On the map, two cities are 3.6 inches apart. What is the actual distance, in miles, between the two cities?
- 72
- 80
- 85
- 90 (Correct answer)
Correct answer: 90
Actual distance = 3.6 × 25 = 90 miles.
Question 5: A solution is 20% salt by weight. How many grams of salt are in 350 grams of the solution?
- 60 g
- 65 g
- 70 g (Correct answer)
- 75 g
Correct answer: 70 g
0.20 × 350 = 70 grams of salt.
Question 6: If 5 workers can complete a job in 12 days, how many days will it take 15 workers to complete the same job, assuming all workers work at the same rate?
- 3
- 4 (Correct answer)
- 6
- 8
Correct answer: 4
Total worker-days = 5 × 12 = 60; with 15 workers: 60 ÷ 15 = 4 days.
Question 7: The density of a metal block is 8 grams per cubic centimeter. What is the volume, in cubic centimeters, of a block that has a mass of 520 grams?
- 55
- 60
- 65 (Correct answer)
- 70
Correct answer: 65
Volume = mass ÷ density = 520 ÷ 8 = 65 cm³.
Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 1
A car travels 315 miles on 9 gallons of gas.
At this rate, how many miles can the car travel on 15 gallons?