Keystones — Capstone
Five GCSE retrieval questions · 4 January 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 28cm, angle = 47°
Answer: 184.3cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 4:3. Find a:b:c.
Answer: 3:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 41, 56, 45, 69, 48, 74, 75, 38, 79
Answer: Mean = 58.3, Median = 56, Range = 41