Keystones — Capstone
Five GCSE retrieval questions · 31 August 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 13cm, angle = 40°
Answer: 125.3cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 2:3:6 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 62, 28, 83, 92, 66, 48
Answer: Mean = 62.9, Median = 62, Range = 64