Keystones — Capstone
Five GCSE retrieval questions · 28 October 2025 · 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 + 4.2x
Answer: (x + 2.1)² - 4.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 19cm, angle = 59°
Answer: 228cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 44, 80, 59, 68, 11, 21, 63, 41, 14
Answer: Mean = 44.6, Median = 44, Range = 69