Keystones — Capstone
Five GCSE retrieval questions · 3 January 2026 · 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 + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 20cm, angle = 54°
Answer: 145.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:5. Find a:b:c.
Answer: 3:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 87, 25, 75, 88, 60, 74, 35
Answer: Mean = 63.1, Median = 74, Range = 63