Keystones — Capstone
Five GCSE retrieval questions · 20 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
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 = 25cm, b = 15cm, angle = 78°
Answer: 183.4cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 4:3. Find a:b:c.
Answer: 16:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 92, 46, 61, 66, 22, 72, 10, 21
Answer: Mean = 48.8, Median = 61, Range = 82