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Lintel · Grades 5–7 Keystones #217 5 August 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 5 August 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Express 100 as a product of prime factors

    Answer: 2² × 5²
  2. 2. Algebra Linear simultaneous equations

    Solve: 5x + 2y = 14 and x + 3y = 8

    Answer: x = 2, y = 2
  3. 3. Geometry Pythagoras — short side

    Calculate the missing side: a = 14cm, c = 29cm

    Answer: 25.4cm
  4. 4. Ratio Combining two ratios

    a:b is 3:5 and b:c is 5:7. Find a:b:c.

    Answer: 3:5:7
  5. 5. Statistics Expected frequency

    A fair coin is flipped 82 times. How many heads would you expect?

    Answer: 41