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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. What is 15% of £240?

    Answer: £36

    15% of £240 = 0.15 × 240 = £36. Alternatively: 10% = £24, 5% = £12, so 15% = £24 + £12 = £36.

  2. A cube has a volume of 64 cm³. What is the length of one edge?

    Answer: 4 cm

    Volume of a cube = edge³. So edge = ∛64 = 4 cm (since 4 × 4 × 4 = 64).

  3. Simplify the ratio 36:48.

    Answer: 3:4

    The highest common factor of 36 and 48 is 12. 36÷12 = 3, 48÷12 = 4. The simplified ratio is 3:4.

  4. A pie chart shows that 25% of students walk to school, 40% take the bus, and the rest cycle. If there are 200 students, how many cycle?

    Answer: 70

    Walk + bus = 25% + 40% = 65%. Cycle = 100% - 65% = 35%. Number cycling = 35% of 200 = 70 students.

  5. What is the area of a triangle with base 14 cm and height 9 cm?

    Answer: 63 cm²

    Area of a triangle = ½ × base × height = ½ × 14 × 9 = 63 cm².

  6. Emma is 8 years older than her brother. The sum of their ages is 26. How old is Emma?

    Answer: 17

    Let brother's age = x. Emma = x + 8. Sum: x + x + 8 = 26, so 2x = 18, x = 9. Emma = 9 + 8 = 17 years old.