Keystones — Capstone
Five GCSE retrieval questions · 9 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 20cm, angle = 74°
Answer: 201.9cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 51, 98, 32, 84, 74, 12, 42
Answer: Mean = 56.1, Median = 51, Range = 86