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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. A train travels at 60 mph for 2 hours, then at 80 mph for 3 hours. What is the average speed for the entire trip?

    Answer: 72 mph

    Total distance = 120 + 240 = 360 miles over 5 hours, so average speed = 360 ÷ 5 = 72 mph.

  2. A jar contains 40 marbles with a red-to-blue ratio of 3:5. How many red marbles are in the jar?

    Answer: 15

    Red marbles = (3/8) × 40 = 15.

  3. Printer A can print a report in 4 hours; Printer B takes 6 hours. How long do they take working together?

    Answer: 2 hours 24 minutes

    Combined rate = 1/4 + 1/6 = 5/12 reports per hour, so time = 12/5 = 2.4 hours = 2 hours 24 minutes.

  4. Apples cost $0.75 each and oranges cost $1.25 each. What is the total cost of 4 apples and 3 oranges?

    Answer: $6.75

    4 × $0.75 + 3 × $1.25 = $3.00 + $3.75 = $6.75.

  5. Carlos is 3 times as old as his sister. In 6 years, he will be twice as old as his sister. How old is Carlos now?

    Answer: 18

    Setting sister's age as x: 3x + 6 = 2(x + 6) gives x = 6, so Carlos is 18.

  6. A recipe requires 2.5 cups of flour to make 24 cookies. How many cups are needed to make 60 cookies?

    Answer: 6.25 cups

    Scale factor = 60 ÷ 24 = 2.5, so flour needed = 2.5 × 2.5 = 6.25 cups.

  7. A car rental costs $25 per day plus $0.15 per mile. What is the total cost for 3 days and 200 miles?

    Answer: $105

    Cost = 3 × $25 + 200 × $0.15 = $75 + $30 = $105.

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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