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Lintel · Grades 5–7 Keystones #219 7 August 2026 Skills week 4 of 7
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Keystones — Lintel

Five GCSE retrieval questions · 7 August 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Express 200 as a product of prime factors

    Answer: 2³ × 5²
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 14 and 3x - y = 10

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

    Calculate the missing side: a = 17cm, c = 35cm

    Answer: 30.6cm
  4. 4. Ratio Combining two ratios

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

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

    A bag has 2 red out of 13 balls. If you pick 97 times (with replacement), how many times would you expect red?

    Answer: 14.9