Keystones — Capstone
Five GCSE retrieval questions · 3 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 16cm, angle = 47°
Answer: 76.cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:3. Find a:b:c.
Answer: 8:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 99, 26, 51, 61, 97, 25, 17
Answer: Mean = 53.7, Median = 51, Range = 82