Keystones — Capstone
Five GCSE retrieval questions · 2 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
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 = 20cm, b = 16cm, angle = 65°
Answer: 145cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 32, 63, 71, 64, 83, 70, 37, 94
Answer: Mean = 64.3, Median = 70, Range = 62