Keystones — Capstone
Five GCSE retrieval questions · 12 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 25cm, angle = 57°
Answer: 220.2cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 3:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 94, 10, 45, 18, 22, 14, 26, 42
Answer: Mean = 33.9, Median = 26, Range = 84