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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 shop sells apples at 35p each. How much change would you get from £5 if you bought 12 apples?

    Answer: £0.80

    12 apples × 35p = £4.20. Change from £5: £5.00 - £4.20 = £0.80.

  2. What is the next number in the sequence: 2, 5, 11, 23, ?

    Answer: 47

    Each number is doubled and then 1 is added: 2×2+1=5, 5×2+1=11, 11×2+1=23, 23×2+1=47.

  3. A rectangle has a perimeter of 36 cm. If the length is twice the width, what is the area?

    Answer: 72 cm²

    Let width = w. Length = 2w. Perimeter = 2(w + 2w) = 6w = 36, so w = 6 cm. Length = 12 cm. Area = 6 × 12 = 72 cm².

  4. If 3/4 of a number is 60, what is 2/3 of the same number?

    Answer: 53.33

    3/4 of the number = 60, so the number = 60 × 4/3 = 80. Then 2/3 of 80 = 160/3 ≈ 53.33.

  5. A train departs at 09:45 and arrives at 11:20. How long is the journey?

    Answer: 1 hour 35 minutes

    From 09:45 to 11:20: 09:45 to 10:45 = 1 hour, 10:45 to 11:20 = 35 minutes. Total = 1 hour 35 minutes.

  6. A bag contains 3 red balls, 5 blue balls, and 2 green balls. What is the probability of picking a blue ball?

    Answer: 1/2

    Total balls = 3 + 5 + 2 = 10. Blue balls = 5. Probability = 5/10 = 1/2.