Keystones — Capstone
Five GCSE retrieval questions · 4 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 28cm, angle = 45°
Answer: 267.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 12:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 40, 21, 89, 67, 78, 49, 65
Answer: Mean = 58.4, Median = 65, Range = 68