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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 hose fills a 2,400-gallon pool in 8 hours. A second hose fills it in 12 hours. How many hours will it take both hoses together to fill the pool?

    Answer: 4.8 hr

    Combined rate = 1/8 + 1/12 = 5/24 pools/hr; time = 24/5 = 4.8 hours.

  2. A wheel has a radius of 35 cm. How many full rotations does the wheel make when it travels 440 meters? (Use π ≈ 22/7)

    Answer: 200

    Circumference = 2 × (22/7) × 35 = 220 cm = 2.2 m; rotations = 440 ÷ 2.2 = 200.

  3. A recipe requires 2.5 cups of milk for every 3 cups of flour. If a chef has 9 cups of flour, how many cups of milk are needed?

    Answer: 7.5

    Milk = (2.5/3) × 9 = 7.5 cups.

  4. A town's population grows at a constant rate. Its population was 15,000 in 2010 and 18,000 in 2015. What will the population be in 2020 at this rate?

    Answer: 21,000

    Growth = 3,000 per 5 years; 2020 population = 18,000 + 3,000 = 21,000.

  5. A metal pipe is 4 meters long and weighs 24 kg. What is the weight, in kg, of a pipe of the same material that is 6.5 meters long?

    Answer: 39 kg

    Weight per meter = 24 ÷ 4 = 6 kg/m; weight = 6 × 6.5 = 39 kg.

  6. In a class, 60% of students passed a math test and 80% passed an English test. If 30 students passed both and every student passed at least one test, how many students are in the class?

    Answer: 75

    By inclusion-exclusion: (0.60 + 0.80)n − 30 = n → 1.40n − 30 = n → 0.40n = 30 → n = 75.

  7. A substance's speed of sound is 340 m/s. How long, in milliseconds, does it take sound to travel 85 meters? (1 s = 1,000 ms)

    Answer: 250 ms

    Time = 85 ÷ 340 = 0.25 s = 250 ms.