Keystones — Capstone
Five GCSE retrieval questions · 23 September 2025 · 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 + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 26cm, angle = 70°
Answer: 195.5cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 25, 79, 50, 91, 32, 96, 48, 85
Answer: Mean = 63.3, Median = 79, Range = 71