Keystones — Capstone
Five GCSE retrieval questions · 23 November 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 + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 29cm, angle = 72°
Answer: 275.8cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:4. Find a:b:c.
Answer: 2:3:4 -
5. Statistics Averages and range
Find the mean, median and range of: 28, 38, 56, 16, 43, 37, 75
Answer: Mean = 41.9, Median = 38, Range = 59