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Mathematics Problem Solving Flashcards

6 cards from real 11+ 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. A cyclist travels at 12 km/h for 45 minutes. How far does she travel?

    Answer: 9 km

    45 minutes = 0.75 hours. Distance = speed × time = 12 × 0.75 = 9 km.

  2. A square number between 50 and 100 is also a multiple of 4. What is it?

    Answer: 64

    Square numbers between 50 and 100: 64 (8²) and 81 (9²). 64 ÷ 4 = 16 (yes), 81 ÷ 4 = 20.25 (no). The answer is 64.

  3. A box contains red, blue, and yellow beads in the ratio 2:3:5. If there are 60 beads in total, how many blue beads are there?

    Answer: 18

    Total parts = 2 + 3 + 5 = 10. Each part = 60 ÷ 10 = 6. Blue = 3 × 6 = 18 beads.

  4. What is the area of a circle with diameter 14 cm? (Use π = 22/7)

    Answer: 154 cm²

    Radius = 14 ÷ 2 = 7 cm. Area = π × r² = 22/7 × 49 = 22 × 7 = 154 cm².

  5. Solve: 2(3x - 4) = 22

    Answer: 5

    2(3x - 4) = 22. Expand: 6x - 8 = 22. Add 8: 6x = 30. Divide by 6: x = 5.

  6. A map has a scale of 1:50,000. Two towns are 8 cm apart on the map. What is the actual distance in km?

    Answer: 4 km

    8 cm × 50,000 = 400,000 cm = 4,000 m = 4 km.