Keystones — Capstone
Five GCSE retrieval questions · 18 July 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
2. Algebra Completing the square
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 20cm, angle = 46°
Answer: 136.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 8:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 32, 25, 45, 36, 33, 59, 12, 98
Answer: Mean = 39, Median = 33, Range = 87