Keystones — Capstone
Five GCSE retrieval questions · 21 February 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 22cm, angle = 69°
Answer: 246.5cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 65, 63, 89, 87, 48, 85, 58
Answer: Mean = 64, Median = 65, Range = 72