Keystones — Capstone
Five GCSE retrieval questions · 3 September 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 + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 25cm, angle = 58°
Answer: 318cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:3. Find a:b:c.
Answer: 4:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 97, 92, 25, 89, 17, 59, 66, 74
Answer: Mean = 64.9, Median = 74, Range = 80