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Lintel · Grades 5–7 Keystones #120 30 April 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 30 April 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: 2x + 3y = 12 and 4x + 4y = 20

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

    Find b if a = 11cm and c = 19cm

    Answer: 15.49cm
  4. 4. Ratio Combining two ratios

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

    Answer: 8:4:5
  5. 5. Statistics Expected frequency

    A bag has 4 red out of 11 balls. If you pick 78 times (with replacement), how many times would you expect red?

    Answer: 28.4