Keystones — Capstone
Five GCSE retrieval questions · 29 September 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 + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 15cm, angle = 41°
Answer: 98.4cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 43, 14, 20, 20, 30, 49, 19, 30
Answer: Mean = 28.1, Median = 30, Range = 35