Keystones — Capstone
Five GCSE retrieval questions · 30 December 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 12cm, angle = 60°
Answer: 83.cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 12:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 12, 33, 82, 54, 55, 35, 83, 23
Answer: Mean = 47.1, Median = 54, Range = 71