Keystones — Capstone
Five GCSE retrieval questions · 18 August 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 + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 12cm, angle = 74°
Answer: 167.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 68, 98, 86, 73, 80, 10, 88
Answer: Mean = 71.9, Median = 80, Range = 88