Keystones — Capstone
Five GCSE retrieval questions · 16 August 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 + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 23cm, angle = 66°
Answer: 252.cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 4:3. Find a:b:c.
Answer: 3:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 20, 26, 50, 82, 62, 43, 77
Answer: Mean = 52.8, Median = 62, Range = 62