Keystones — Capstone
Five GCSE retrieval questions · 16 July 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 + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 30cm, angle = 54°
Answer: 291.2cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 3:5. Find a:b:c.
Answer: 6:12:20 -
5. Statistics Averages and range
Find the mean, median and range of: 97, 12, 58, 51, 91, 51, 93, 44
Answer: Mean = 62.1, Median = 58, Range = 85