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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 container is 25% full. After adding 18 liters, it is 70% full. What is the total capacity of the container in liters?

    Answer: 40

    18 liters fills 70% − 25% = 45% of capacity; capacity = 18 ÷ 0.45 = 40 liters.

  2. A car trip covers 1/4 of the distance in the first hour, and the remaining 90 miles in the next 2 hours. What was the total distance of the trip?

    Answer: 120 miles

    The remaining 3/4 of the total equals 90 miles; total = 90 ÷ (3/4) = 120 miles.

  3. A 12% acid solution and a 30% acid solution are mixed to make 60 liters of an 18% acid solution. How many liters of the 12% solution are used?

    Answer: 40

    Let x = liters of 12% solution: 0.12x + 0.30(60−x) = 0.18(60) → −0.18x = −7.2 → x = 40.

  4. If the exchange rate is 1 USD = 0.85 EUR, how many USD would you receive for 51 EUR?

    Answer: 60

    USD = 51 ÷ 0.85 = 60.

  5. A photograph measures 4 inches by 6 inches. It is enlarged so that the longer side becomes 15 inches. What is the length of the shorter side of the enlarged photo?

    Answer: 10 in

    Scale factor = 15 ÷ 6 = 2.5; shorter side = 4 × 2.5 = 10 inches.

  6. A worker earns $18.50 per hour for regular time and $27.75 per hour for overtime (any hours over 40 per week). How much does the worker earn in a week with 46 hours of work?

    Answer: $906.50

    Regular: 40 × $18.50 = $740; overtime: 6 × $27.75 = $166.50; total = $906.50.

  7. A scale model of a building is made at a ratio of 1:200. If the model is 0.45 meters tall, how tall is the actual building, in meters?

    Answer: 90 m

    Actual height = 0.45 × 200 = 90 meters.