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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. A 24-oz bottle of shampoo costs $6.00 and a 40-oz bottle costs $9.20. How many more cents per ounce does the smaller bottle cost?

    Answer: 2 cents/oz

    Small: 600 ÷ 24 = 25 cents/oz; large: 920 ÷ 40 = 23 cents/oz; difference = 2 cents/oz.

  2. A pipe leaks 2.4 liters per hour. How many liters does it leak in 4 days and 6 hours?

    Answer: 244.8 liters

    Total hours = (4 × 24) + 6 = 102 hours; leaked = 102 × 2.4 = 244.8 liters.

  3. In a park, 5 out of every 8 visitors use the walking trail. On a day with 1,040 visitors, how many used the trail?

    Answer: 650

    5/8 × 1,040 = 650 visitors.

  4. A car traveled 216 miles on 8 gallons of gas. At the same rate, how many gallons does it need to travel 351 miles?

    Answer: 13 gallons

    MPG = 216 ÷ 8 = 27; gallons for 351 miles = 351 ÷ 27 = 13 gallons.

  5. A student scored 78, 85, 92, and 79 on four tests. What score on the fifth test gives an average of exactly 85?

    Answer: 91

    Total needed = 85 × 5 = 425; current total = 78 + 85 + 92 + 79 = 334; fifth score = 425 − 334 = 91.

  6. Workers A and B together earn $1,800 per week. Worker A earns $200 more per week than Worker B. How much does Worker B earn per week?

    Answer: $800

    Let B = x; A = x + 200; x + (x + 200) = 1,800; 2x = 1,600; x = $800.

  7. A 15-liter radiator coolant mixture is 40% antifreeze. How many liters of pure antifreeze must be added to make a 60% antifreeze mixture?

    Answer: 7.5 liters

    Current antifreeze = 0.40 × 15 = 6 L; let x = liters added; (6 + x)/(15 + x) = 0.60; 6 + x = 9 + 0.60x; 0.40x = 3; x = 7.5 liters.