Keystones — Capstone
Five GCSE retrieval questions · 1 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 29cm, angle = 56°
Answer: 216.4cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:4. Find a:b:c.
Answer: 2:3:4 -
5. Statistics Averages and range
Find the mean, median and range of: 98, 65, 96, 82, 66, 59, 56, 52, 28
Answer: Mean = 66.9, Median = 65, Range = 70