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- Basic Math and Science Ratios, Proportions, and Percentages Questions and Answers 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.

Read the first 7 - Basic Math and Science Ratios, Proportions, and Percentages Questions and Answers flashcards as text

  1. A store increases a price from $50 to $65. What is the percentage increase?

    Answer: 30%

    Percentage increase = (65 − 50) / 50 × 100 = 15/50 × 100 = 30%.

  2. Two gears have a tooth ratio of 3:8. If the smaller gear rotates 40 times, how many times does the larger gear rotate?

    Answer: 15 times

    3/8 = 40/x → x = 40 × 8 / 3 ... actually gear ratios are inverse: larger gear turns = 40 × 3/8 = 15 times.

  3. On a map, 2 centimeters represents 50 kilometers. How many centimeters represent 175 kilometers?

    Answer: 7 cm

    2/50 = x/175 → x = 2 × 175 / 50 = 7 cm.

  4. A student scored 78 out of 120 on a test. What percentage did the student score, rounded to the nearest whole number?

    Answer: 65%

    78 / 120 × 100 = 65%.

  5. A mixture contains 3 parts water to 1 part concentrate. To make 32 ounces of mixture, how many ounces of concentrate are needed?

    Answer: 8 oz

    Total parts = 4; concentrate = 1/4 × 32 = 8 ounces.

  6. A price drops from $120 to $90. What is the percentage decrease?

    Answer: 25%

    Percentage decrease = (120 − 90) / 120 × 100 = 30/120 × 100 = 25%.

  7. If a 6-foot pole casts an 8-foot shadow, how tall is a tree that casts a 20-foot shadow?

    Answer: 15 ft

    6/8 = h/20 → h = 6 × 20 / 8 = 15 feet.