Keystones — Capstone
Five GCSE retrieval questions · 11 April 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 24cm, angle = 65°
Answer: 217.5cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 8:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 86, 78, 22, 91, 58, 95, 90, 27
Answer: Mean = 68.4, Median = 86, Range = 73