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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 recipe requires a sugar-to-flour ratio of 1:4. If you use 3 cups of sugar, how many cups of flour do you need?

    Answer: 12

    3 × 4 = 12 cups of flour.

  2. An item costs $45 after a 10% discount. What was the original price?

    Answer: $50

    Original × 0.90 = $45, so original = 45 / 0.90 = $50.

  3. If 5 workers can complete a job in 12 days, how many days would 15 workers take (assuming constant rate)?

    Answer: 4

    Total work = 5 × 12 = 60 worker-days; 60 / 15 = 4 days.

  4. A population grew from 8,000 to 10,000. What is the percentage growth?

    Answer: 25%

    (10,000 − 8,000) / 8,000 × 100 = 2,000/8,000 × 100 = 25%.

  5. The ratio of apples to oranges is 2:3, and the ratio of oranges to grapes is 3:4. What is the ratio of apples to grapes?

    Answer: 2:4

    Apples:oranges:grapes = 2:3:4, so apples to grapes = 2:4.

  6. A 60-question test counts 25% toward the final grade. If a student answers 48 correctly, what percentage score do they earn on this portion?

    Answer: 20%

    48/60 = 80%; 80% × 25% = 20% of the final grade.

  7. A solution contains 15 mL of alcohol in 75 mL of total solution. What is the concentration of alcohol as a percentage?

    Answer: 20%

    15 / 75 × 100 = 20%.