Keystones — Capstone
Five GCSE retrieval questions · 20 October 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
2. Algebra Completing the square
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 23cm, angle = 66°
Answer: 210.cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 3:4. Find a:b:c.
Answer: 6:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 36, 61, 11, 39, 94, 44, 82, 49
Answer: Mean = 55.4, Median = 49, Range = 83