Keystones — Capstone
Five GCSE retrieval questions · 21 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 + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 20cm, angle = 69°
Answer: 261.4cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 4:5. Find a:b:c.
Answer: 2:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 10, 41, 17, 82, 14, 14, 40, 59, 66
Answer: Mean = 38.1, Median = 40, Range = 72