Keystones — Capstone
Five GCSE retrieval questions · 2 September 2026 · 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 + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 13cm, angle = 43°
Answer: 106.4cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 3:5. Find a:b:c.
Answer: 9:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 84, 60, 84, 52, 19, 23, 72, 52, 12
Answer: Mean = 50.9, Median = 52, Range = 72