Keystones — Capstone
Five GCSE retrieval questions · 23 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 26cm, angle = 41°
Answer: 187.6cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15 -
5. Statistics Averages and range
Find the mean, median and range of: 30, 11, 95, 92, 22, 85, 47, 40
Answer: Mean = 52.8, Median = 47, Range = 84