Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 2 — Questions and Answers
Question 1: A store sells apples at a rate of 3 for $1.50. At this rate, what is the cost of 8 apples?
- $3.50
- $4.00 (Correct answer)
- $4.50
- $5.00
Correct answer: $4.00
Unit price = $1.50 ÷ 3 = $0.50 each; 8 × $0.50 = $4.00.
Question 2: Two quantities x and y are proportional. When x = 4, y = 10. What is the value of y when x = 14?
- 30
- 32
- 35 (Correct answer)
- 40
Correct answer: 35
The constant of proportionality k = y/x = 10/4 = 2.5; when x = 14, y = 2.5 × 14 = 35.
Question 3: A pump can fill a tank at a rate of 240 liters per minute. How many hours will it take to fill a 43,200-liter tank?
- 2
- 3 (Correct answer)
- 4
- 5
Correct answer: 3
Time = 43,200 ÷ 240 = 180 minutes = 3 hours.
Question 4: On a blueprint, a room is drawn as 4 cm wide and 6 cm long. If the scale is 1 cm = 2.5 m, what is the actual area of the room in square meters?
- 60 m²
- 120 m²
- 150 m² (Correct answer)
- 180 m²
Correct answer: 150 m²
Actual dimensions: 4 × 2.5 = 10 m wide and 6 × 2.5 = 15 m long; area = 10 × 15 = 150 m².
Question 5: A car's speed is 60 miles per hour. Which of the following correctly converts this speed to feet per second? (1 mile = 5,280 feet; 1 hour = 3,600 seconds)
- 66 ft/s
- 82 ft/s
- 88 ft/s (Correct answer)
- 96 ft/s
Correct answer: 88 ft/s
60 × 5,280 ÷ 3,600 = 316,800 ÷ 3,600 = 88 feet per second.
Question 6: A mixture contains sand and gravel in a ratio of 5:3. If there are 40 kg of sand, how many kg of gravel are in the mixture?
- 20
- 24 (Correct answer)
- 28
- 32
Correct answer: 24
Gravel = (3/5) × 40 = 24 kg.
Question 7: A printer prints 180 pages in 4 minutes. At this constant rate, how many pages will it print in 1 hour and 10 minutes?
- 3,000
- 3,100
- 3,150 (Correct answer)
- 3,200
Correct answer: 3,150
Rate = 45 pages/min; 1 hr 10 min = 70 min; 45 × 70 = 3,150 pages.
Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 2
A store sells apples at a rate of 3 for $1.50.
At this rate, what is the cost of 8 apples?