Keystones — Capstone
Five GCSE retrieval questions · 11 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 = 26cm, b = 16cm, angle = 58°
Answer: 176.4cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:5. Find a:b:c.
Answer: 12:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 15, 77, 59, 80, 76, 39, 88
Answer: Mean = 62, Median = 76, Range = 73