Keystones — Capstone
Five GCSE retrieval questions · 6 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
2. Algebra Completing the square
Complete the square: x² + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 29cm, angle = 66°
Answer: 159cm² -
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: 80, 35, 37, 71, 98, 58, 49, 46, 33
Answer: Mean = 56.3, Median = 49, Range = 65