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Lintel · Grades 5–7 Keystones #170 19 June 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 19 June 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Write 90 as a product of its prime factors

    Answer: 2 × 3² × 5
  2. 2. Algebra Linear simultaneous equations

    Solve: 3x + 5y = 26 and 2x + y = 8

    Answer: x = 2, y = 4
  3. 3. Geometry Pythagoras — short side

    Find b if a = 7cm and c = 19cm

    Answer: 17.66cm
  4. 4. Ratio Combining two ratios

    a:b is 3:2 and b:c is 1:3. Find a:b:c.

    Answer: 3:2:6
  5. 5. Statistics Expected frequency

    A fair coin is flipped 174 times. How many heads would you expect?

    Answer: 87