Keystones — Capstone
Five GCSE retrieval questions · 5 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 12cm, angle = 53°
Answer: 95.8cm² -
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: 20, 59, 10, 60, 63, 47, 67, 49, 54
Answer: Mean = 47.7, Median = 54, Range = 57