Keystones — Capstone
Five GCSE retrieval questions · 17 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
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 = 29cm, b = 17cm, angle = 47°
Answer: 180.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 40, 49, 27, 79, 43, 12, 95, 29
Answer: Mean = 46.8, Median = 43, Range = 83