Keystones — Capstone
Five GCSE retrieval questions · 27 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 22cm, angle = 59°
Answer: 179.cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 70, 55, 92, 65, 56, 95, 19, 30, 67
Answer: Mean = 61, Median = 65, Range = 76