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Ratios, Rates, Proportional Relationships, and Units Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  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)

    Answer: $2.56

    Price difference per ounce = $0.08 − $0.06 = $0.02; per gallon = 0.02 × 128 = $2.56.

  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?

    Answer: 280 miles

    Maria's speed = 330 ÷ 5.5 = 60 mph; Ben's speed = 70 mph; Ben's distance = 70 × 4 = 280 miles.

  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?

    Answer: 6 g

    Ratio = 0.9 ÷ 45 = 0.02; trace element in 300 g = 0.02 × 300 = 6 g.

  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)

    Answer: 21.6 L

    Total mL = 15 × 1,440 = 21,600 mL = 21.6 L.

  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?

    Answer: 121

    Dogs = (4/7) × 77 = 44; total = 77 + 44 = 121.

  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?

    Answer: 160 g

    Density = 96 ÷ 12 = 8 g/cm³; mass = 8 × 20 = 160 g.

  7. A factory produces 1,440 items in 8 hours. At this rate, how many items are produced in 5 hours and 30 minutes?

    Answer: 990

    Rate = 1,440 ÷ 8 = 180 items/hr; 5.5 hr × 180 = 990 items.