Keystones — Capstone
Five GCSE retrieval questions · 12 October 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 24cm, angle = 44°
Answer: 233.4cm² -
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: 87, 16, 98, 35, 35, 58, 17, 28
Answer: Mean = 46.8, Median = 35, Range = 82