Keystones — Capstone
Five GCSE retrieval questions · 10 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 + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 16cm, angle = 66°
Answer: 160.8cm² -
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: 36, 42, 49, 44, 99, 59, 15, 14, 67
Answer: Mean = 47.2, Median = 44, Range = 85