Keystones — Capstone
Five GCSE retrieval questions · 24 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
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 = 16cm, b = 24cm, angle = 40°
Answer: 123.4cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 9:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 54, 54, 52, 89, 92, 18, 70, 17
Answer: Mean = 55.8, Median = 54, Range = 75