Keystones — Capstone
Five GCSE retrieval questions · 15 September 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 + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 16cm, angle = 66°
Answer: 131.6cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 68, 75, 20, 75, 41, 98, 71, 18, 11
Answer: Mean = 53, Median = 68, Range = 87