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Ratios, Proportions, and Percentages Flashcards

7 cards from real BMST 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 tank is 3/5 full and contains 120 liters. What is the total capacity of the tank?

    Answer: 200 liters

    120 = (3/5) × capacity, so capacity = 120 × 5/3 = 200 liters.

  2. If the price of an item drops from $150 to $120, what is the percent decrease?

    Answer: 20%

    (150 − 120) / 150 × 100 = 30/150 × 100 = 20%.

  3. A team wins 18 out of 30 games. What percentage of games did they win?

    Answer: 60%

    18 / 30 × 100 = 60%.

  4. A machine produces 450 parts in 5 hours. At the same rate, how many parts does it produce in 8 hours?

    Answer: 720

    Rate = 450/5 = 90 parts/hour; 90 × 8 = 720 parts.

  5. The ratio of cats to dogs in a shelter is 3:5. If there are 40 dogs, how many animals are there in total?

    Answer: 64

    Cats = (3/5) × 40 = 24; total = 24 + 40 = 64.

  6. A student scored 78 out of 120 on a test. What is the score as a percentage (rounded to the nearest whole number)?

    Answer: 65%

    78 / 120 × 100 = 65%.

  7. Two quantities are proportional. When x = 4, y = 10. What is y when x = 14?

    Answer: 35

    y/x = 10/4 = 2.5; y = 2.5 × 14 = 35.