Keystones — Capstone
Five GCSE retrieval questions · 15 October 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 + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 21cm, angle = 53°
Answer: 176.cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:5. Find a:b:c.
Answer: 8:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 13, 100, 38, 55, 82, 68, 38, 33, 40
Answer: Mean = 51.9, Median = 40, Range = 87