Keystones — Capstone
Five GCSE retrieval questions · 27 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
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 = 23cm, b = 12cm, angle = 59°
Answer: 118.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:5. Find a:b:c.
Answer: 8:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 31, 18, 74, 81, 97, 23, 36, 71
Answer: Mean = 53.9, Median = 71, Range = 79