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Lintel · Grades 5–7 Keystones #167 16 June 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 16 June 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Write 36 as a product of its prime factors

    Answer: 2² × 3²
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 37 and 2x + 4y = 44

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

    Find b if a = 12cm and c = 21cm

    Answer: 17.23cm
  4. 4. Ratio Combining two ratios

    a:b is 4:5 and b:c is 5:6. Find a:b:c.

    Answer: 4:5:6
  5. 5. Statistics Expected frequency

    A fair coin is flipped 132 times. How many heads would you expect?

    Answer: 66