Keystones — Capstone
Five GCSE retrieval questions · 19 October 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 27cm, angle = 41°
Answer: 132.9cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 63, 37, 12, 54, 95, 11, 30, 79, 24
Answer: Mean = 45, Median = 37, Range = 84