Keystones — Capstone
Five GCSE retrieval questions · 31 May 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 17cm, angle = 66°
Answer: 139.8cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 4:3. Find a:b:c.
Answer: 2:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 63, 70, 82, 23, 74, 13, 74, 14
Answer: Mean = 51.6, Median = 70, Range = 69