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Problem Solving: Word Problems Flashcards

7 cards from real SCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Problem Solving: Word Problems flashcards as text

  1. An investment of $1,000 earns 10% simple interest per year. How much total interest is earned after 3 years?

    Answer: $300

    Simple interest = P × r × t = $1,000 × 0.10 × 3 = $300.

  2. A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random, what is the probability it is red?

    Answer: 5/8

    P(red) = 5 favorable outcomes ÷ 8 total balls = 5/8.

  3. A sequence starts at 3 and each term is multiplied by 4 to get the next. What is the 4th term?

    Answer: 192

    The sequence is 3, 12, 48, 192; the 4th term is 192.

  4. A farmer has 240 feet of fencing to enclose a rectangular pen. What is the maximum possible area of the pen?

    Answer: 3,600 sq ft

    Maximum area is achieved by a square: side = 240 ÷ 4 = 60 ft, area = 60 × 60 = 3,600 sq ft.

  5. A model car is built at a scale of 1:24. If the model is 8 inches long, how long is the actual car in feet?

    Answer: 16 feet

    Actual length = 8 × 24 = 192 inches = 192 ÷ 12 = 16 feet.

  6. A store raises all prices by 20%, then reduces the new prices by 20%. What is the overall percent change in price?

    Answer: −4%

    Net price = original × 1.20 × 0.80 = 0.96 × original, so the price decreased by 4%.

  7. Alice paints a fence in 6 hours; Bob paints it in 4 hours. They work together for 1 hour, then Alice leaves. How much additional time does Bob need to finish alone?

    Answer: 2 hours 20 minutes

    Together they complete 5/12 in 1 hour, leaving 7/12; Bob finishes 7/12 at rate 1/4 per hour in (7/12)/(1/4) = 7/3 hours ≈ 2 hours 20 minutes.

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Sources & references

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  1. help.cty.jhu.edu — Test dates, test delivery, eligibility, fees, score release · verified Nov 2026