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Lintel · Grades 5–7 Keystones #123 3 May 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 3 May 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: 4x + 3y = 36 and x + 2y = 14

    Answer: x = 6, y = 4
  3. 3. Geometry Pythagoras — short side

    Calculate the missing side: a = 18cm, c = 38cm

    Answer: 33.5cm
  4. 4. Ratio Combining two ratios

    a:b is 2:1 and b:c is 1:2. Find a:b:c.

    Answer: 4:2:4
  5. 5. Statistics Expected frequency

    A fair coin is flipped 172 times. How many heads would you expect?

    Answer: 86