Keystones — Capstone
Five GCSE retrieval questions · 1 January 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 + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 27cm, angle = 59°
Answer: 254.6cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:4. Find a:b:c.
Answer: 2:3:4 -
5. Statistics Averages and range
Find the mean, median and range of: 18, 23, 29, 70, 52, 43, 74
Answer: Mean = 44.1, Median = 43, Range = 56