Keystones — Capstone
Five GCSE retrieval questions · 22 February 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 = 21cm, b = 17cm, angle = 77°
Answer: 173.9cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 39, 97, 51, 66, 89, 58, 69
Answer: Mean = 67, Median = 66, Range = 58