Keystones — Capstone
Five GCSE retrieval questions · 13 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
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 = 22cm, b = 15cm, angle = 66°
Answer: 150.7cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 74, 81, 31, 84, 15, 59, 91, 70, 89
Answer: Mean = 66, Median = 74, Range = 76