Keystones — Capstone
Five GCSE retrieval questions · 2 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 16cm, angle = 44°
Answer: 116.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:5. Find a:b:c.
Answer: 2:3:5 -
5. Statistics Averages and range
Find the mean, median and range of: 59, 93, 75, 59, 36, 15, 44
Answer: Mean = 54.4, Median = 59, Range = 78