Keystones — Capstone
Five GCSE retrieval questions · 19 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
2. Algebra Completing the square
Complete the square: x² + 4.6x
Answer: (x + 2.3)² - 5.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 26cm, angle = 51°
Answer: 252.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:5. Find a:b:c.
Answer: 3:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 26, 30, 88, 91, 64, 73, 11
Answer: Mean = 54.7, Median = 64, Range = 80