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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 cyclist rides at a constant speed and covers 48 miles in 3 hours. How long, in hours, will it take the cyclist to cover 80 miles at the same speed?

    Answer: 5

    Speed = 48 ÷ 3 = 16 mph; time = 80 ÷ 16 = 5 hours.

  2. Alloy A contains copper and zinc in a ratio of 3:7. How many grams of copper are in 200 grams of Alloy A?

    Answer: 60 g

    Copper fraction = 3/(3+7) = 3/10; copper = (3/10) × 200 = 60 g.

  3. A store marks up all items by 40%. If the store's cost for a jacket is $75, what is the selling price?

    Answer: $105

    Selling price = $75 × 1.40 = $105.

  4. A water tank loses water at a rate of 0.5 gallons per minute. How many gallons does the tank lose in 2 hours and 30 minutes?

    Answer: 75

    2 hr 30 min = 150 minutes; 0.5 × 150 = 75 gallons.

  5. Light travels at approximately 3 × 10⁸ meters per second. How many kilometers does light travel in 5 seconds? (1 km = 1,000 m)

    Answer: 1.5 × 10⁶ km

    Distance in meters = 3×10⁸ × 5 = 1.5×10⁹ m; in km = 1.5×10⁹ ÷ 10³ = 1.5×10⁶ km.

  6. In a school, the ratio of boys to girls is 4:5. If there are 360 students in total, how many are boys?

    Answer: 160

    Boys = (4/9) × 360 = 160.

  7. A car travels 400 km on 50 liters of fuel. If the price of fuel is $1.20 per liter, what is the fuel cost per kilometer?

    Answer: $0.15

    Fuel per km = 50 ÷ 400 = 0.125 L/km; cost per km = 0.125 × $1.20 = $0.15.