Keystones — Capstone
Five GCSE retrieval questions · 18 December 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 + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 19cm, angle = 48°
Answer: 211.8cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 8:6:9 -
5. Statistics Averages and range
Find the mean, median and range of: 98, 60, 86, 85, 89, 62, 39, 95
Answer: Mean = 76.8, Median = 86, Range = 59