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Lintel · Grades 5–7 Keystones #215 3 August 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 3 August 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Write 72 as a product of its prime factors

    Answer: 2³ × 3²
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 37 and 3x - y = 17

    Answer: x = 8, y = 7
  3. 3. Geometry Pythagoras — short side

    Find b if a = 12cm and c = 17cm

    Answer: 12.04cm
  4. 4. Ratio Combining two ratios

    a:b is 3:4 and b:c is 1:3. Find a:b:c.

    Answer: 3:4:12
  5. 5. Statistics Expected frequency

    A fair coin is flipped 60 times. How many heads would you expect?

    Answer: 30