Keystones — Capstone
Five GCSE retrieval questions · 25 October 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
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 = 29cm, b = 12cm, angle = 75°
Answer: 168.cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 18, 82, 99, 36, 12, 23, 75, 11, 27
Answer: Mean = 42.6, Median = 27, Range = 88