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Mathematics Problem Solving Flashcards

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

Read the first 6 Mathematics Problem Solving flashcards as text

  1. Siti had $500. She spent 30% of it on a dress and 1/5 of the remainder on shoes. How much did she spend on shoes?

    Answer: $70

    Dress: 30% of $500 = $150. Remainder: $500 − $150 = $350. Shoes: 1/5 × $350 = $70.

  2. A rectangular tank measures 40 cm by 30 cm by 25 cm. What is its volume?

    Answer: 30,000 cm³

    Volume = length × width × height = 40 × 30 × 25 = 30,000 cm³.

  3. A clock shows 3:45 p.m. What is the angle between the hour and minute hands?

    Answer: 172.5°

    At 3:45, minute hand is at 270°. Hour hand is at 90° + (45/60 × 30°) = 90° + 22.5° = 112.5°. Angle = 270° − 112.5° = 157.5°. Wait — let me recalculate. The smaller angle: 360° − 157.5° = 202.5° is larger, so the angle is 157.5°. Actually: 270 - 112.5 = 157.5°.

  4. 3 workers can paint a room in 6 hours. How long will it take 9 workers to paint the same room?

    Answer: 2 hours

    More workers means less time. If 3 workers take 6 hours, total work = 18 worker-hours. 9 workers: 18 ÷ 9 = 2 hours.

  5. A shop offers a 'buy 3 get 1 free' promotion on pens that cost $2 each. How much does Ravi pay for 8 pens?

    Answer: $12

    For every 4 pens, Ravi pays for 3. 8 pens = 2 groups of 4. He pays for 6 pens: 6 × $2 = $12.

  6. The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many students are there in total?

    Answer: 64

    3 parts = 24, so 1 part = 8. Girls = 5 × 8 = 40. Total = 24 + 40 = 64.

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