Keystones — Capstone
Five GCSE retrieval questions · 18 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 12cm, angle = 66°
Answer: 126.cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:2. Find a:b:c.
Answer: 6:12:24 -
5. Statistics Averages and range
Find the mean, median and range of: 49, 39, 67, 68, 10, 50, 46, 93
Answer: Mean = 52.8, Median = 50, Range = 83