Keystones — Capstone
Five GCSE retrieval questions · 19 July 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 4.6x
Answer: (x + 2.3)² - 5.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 30cm, angle = 56°
Answer: 298.5cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:5. Find a:b:c.
Answer: 3:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 24, 94, 46, 72, 82, 98, 24, 84
Answer: Mean = 65.5, Median = 82, Range = 74