Keystones — Capstone
Five GCSE retrieval questions · 16 October 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 25cm, angle = 58°
Answer: 318cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 43, 18, 13, 76, 81, 41
Answer: Mean = 40.4, Median = 41, Range = 70