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Capstone · Grades 7–9 Keystones #1 24 April 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 24 April 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra Completing the square

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 16cm, b = 30cm, angle = 41°

    Answer: 157.5cm²
  4. 4. Ratio Combining two ratios

    a:b is 4:3 and b:c is 1:2. Find a:b:c.

    Answer: 8:6:12
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 36, 40, 73, 80, 24, 21, 60

    Answer: Mean = 47.7, Median = 40, Range = 59