Keystones — Capstone
Five GCSE retrieval questions · 3 December 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 + 4.2x
Answer: (x + 2.1)² - 4.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 22cm, angle = 80°
Answer: 292.5cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:3. Find a:b:c.
Answer: 4:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 13, 34, 71, 24, 73, 40, 78, 20, 44
Answer: Mean = 44.1, Median = 40, Range = 65