Keystones — Capstone
Five GCSE retrieval questions · 24 September 2025 · 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 + 4.2x
Answer: (x + 2.1)² - 4.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 14cm, angle = 41°
Answer: 82.7cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 3:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 12, 60, 25, 71, 82, 51
Answer: Mean = 54.9, Median = 60, Range = 71