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Lintel · Grades 5–7 Keystones #68 9 March 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 9 March 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Write 60 as a product of its prime factors

    Answer: 2² × 3 × 5
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 35 and 3x - y = 14

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

    Calculate the missing side: a = 10cm, c = 24cm

    Answer: 21.8cm
  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 bag has 2 red out of 13 balls. If you pick 80 times (with replacement), how many times would you expect red?

    Answer: 12.3