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Quantitative Reasoning in Context Flashcards

7 cards from real STAT 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 table shows that a town's population grew from 45,000 in 2010 to 54,000 in 2020. What was the percentage increase?

    Answer: 20%

    (54,000 − 45,000) ÷ 45,000 × 100 = 9,000 ÷ 45,000 × 100 = 20%.

  2. A box contains 5 red, 3 blue, and 2 green marbles. If one marble is chosen at random, what is the probability it is NOT red?

    Answer: 1/2

    Non-red marbles = 3 + 2 = 5 out of 10 total, giving a probability of 5/10 = 1/2.

  3. A worker is paid $18 per hour and works 38 hours in one week. She also receives a $50 bonus. What are her total gross earnings?

    Answer: $734

    18 × 38 = $684, plus the $50 bonus = $734.

  4. The median of the data set {12, 15, 9, 22, 18, 7, 14} is:

    Answer: 14

    Ordered: 7, 9, 12, 14, 15, 18, 22 — the middle (4th) value is 14.

  5. A water tank holds 2,400 liters when full. It is currently 35% full. How many more liters are needed to fill it to 80% capacity?

    Answer: 1,080 liters

    80% of 2,400 = 1,920; 35% of 2,400 = 840; difference = 1,920 − 840 = 1,080 liters.

  6. If y varies directly with x and y = 36 when x = 9, what is the value of y when x = 15?

    Answer: 60

    The constant of proportionality k = 36 ÷ 9 = 4; y = 4 × 15 = 60.

  7. A graph shows sales rising steeply for three months then leveling off. Which interpretation is most accurate?

    Answer: Growth rate slowed but sales are still increasing

    A leveling-off curve means the rate of increase is decreasing, but the total value is still going up.