Keystones — Capstone
Five GCSE retrieval questions · 21 August 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 27cm, angle = 41°
Answer: 194.8cm² -
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: 40, 18, 11, 77, 73, 96, 19, 79
Answer: Mean = 51.6, Median = 73, Range = 85