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Capstone · Grades 7–9 Keystones #235 23 August 2026 Skills week 6 of 7
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Keystones — Capstone

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

  1. 1. Number Adding and subtracting surds

    Simplify: √8 + √18

    Answer: 2√2 + 3√2 = 5√2
  2. 2. Algebra Quadratic from a turning point

    Find equation with turning point (5, 8) and coefficient 6

    Answer: y = 6(x - 5)² + 8
  3. 3. Geometry Trigonometry — perimeter

    Find perimeter: adjacent = 11cm, angle = 48°

    Answer: 39.6cm
  4. 4. Ratio One amount as a percentage of another

    47 out of 85 students passed. What percentage passed?

    Answer: 55.3%
  5. 5. Statistics Simple probability

    A spinner has 5 red, 4 blue and 3 green sections. Probability of landing on red?

    Answer: 512