Keystones — Capstone
Five GCSE retrieval questions · 22 October 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 16cm, angle = 43°
Answer: 103.7cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 4:3:6 -
5. Statistics Averages and range
Find the mean, median and range of: 90, 67, 97, 18, 100, 91, 40
Answer: Mean = 71.9, Median = 90, Range = 82