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Capstone · Grades 7–9 Keystones #113 23 April 2026 Skills week 3 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 23 April 2026 · mathsvault.uk/keystones

  1. 1. Number Rationalising the denominator

    Rationalise: 4/√2

    Answer: 4√22
  2. 2. Algebra Factorising non-monic quadratics

    Factorise: 6x² -4x - 16

    Answer: (2x - 4)(3x + 4)
  3. 3. Geometry SOHCAHTOA — missing length

    Adjacent = 14cm, angle = 51°. Find opposite

    Answer: 17.3cm
  4. 4. Ratio Reverse percentages

    A price of £582.92 includes a 18% increase. What was the price before the increase?

    Answer: £494.00
  5. 5. Statistics Mean

    The mean of 4 numbers is 28. If 3 of them are 33, 41, 38, what is the missing number?

    Answer: 0