Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 5 — Questions and Answers
Question 1: The unit price of brand X juice is $0.08 per ounce and brand Y juice is $0.06 per ounce. How much cheaper per gallon is brand Y than brand X? (1 gallon = 128 ounces)
- $2.24
- $2.56 (Correct answer)
- $2.96
- $3.12
Correct answer: $2.56
Price difference per ounce = $0.08 − $0.06 = $0.02; per gallon = 0.02 × 128 = $2.56.
Question 2: Maria drives 330 miles in 5.5 hours. Ben drives at a speed 10 mph faster than Maria. How many miles does Ben drive in 4 hours?
- 240 miles
- 260 miles
- 280 miles (Correct answer)
- 300 miles
Correct answer: 280 miles
Maria's speed = 330 ÷ 5.5 = 60 mph; Ben's speed = 70 mph; Ben's distance = 70 × 4 = 280 miles.
Question 3: A 45-gram sample of a substance contains 0.9 grams of a trace element. How many grams of the trace element would be in a 300-gram sample of the same substance?
- 4 g
- 5 g
- 6 g (Correct answer)
- 7 g
Correct answer: 6 g
Ratio = 0.9 ÷ 45 = 0.02; trace element in 300 g = 0.02 × 300 = 6 g.
Question 4: A faucet drips at a rate of 15 milliliters per minute. How many liters does the faucet drip in one full day? (1 L = 1,000 mL; 1 day = 1,440 min)
- 18.6 L
- 20.4 L
- 21.6 L (Correct answer)
- 22.8 L
Correct answer: 21.6 L
Total mL = 15 × 1,440 = 21,600 mL = 21.6 L.
Question 5: The ratio of cats to dogs in an animal shelter is 7:4. If there are 77 cats, how many animals are in the shelter in total?
- 108
- 121 (Correct answer)
- 132
- 143
Correct answer: 121
Dogs = (4/7) × 77 = 44; total = 77 + 44 = 121.
Question 6: An object has a mass of 96 grams and a volume of 12 cm³. Another object of the same material has a volume of 20 cm³. What is its mass?
- 140 g
- 150 g
- 160 g (Correct answer)
- 170 g
Correct answer: 160 g
Density = 96 ÷ 12 = 8 g/cm³; mass = 8 × 20 = 160 g.
Question 7: A factory produces 1,440 items in 8 hours. At this rate, how many items are produced in 5 hours and 30 minutes?
- 900
- 945
- 990 (Correct answer)
- 1,020
Correct answer: 990
Rate = 1,440 ÷ 8 = 180 items/hr; 5.5 hr × 180 = 990 items.
Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 5
The unit price of brand X juice is $0.08 per ounce and brand Y juice is $0.06 per ounce.
How much cheaper per gallon is brand Y than brand X? (1 gallon = 128 ounces)