Keystones — Capstone
Five GCSE retrieval questions · 29 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 + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 26cm, angle = 80°
Answer: 345.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 8:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 54, 79, 68, 10, 70, 94, 40, 58
Answer: Mean = 59.1, Median = 68, Range = 84