Keystones — Capstone
Five GCSE retrieval questions · 5 June 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 24cm, angle = 54°
Answer: 252.4cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:3. Find a:b:c.
Answer: 8:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 99, 66, 22, 35, 42, 76, 11, 85
Answer: Mean = 54.5, Median = 66, Range = 88