Keystones — Capstone
Five GCSE retrieval questions · 14 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 14cm, angle = 45°
Answer: 123.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 4:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 69, 32, 41, 79, 94, 73, 29, 81, 45
Answer: Mean = 60.3, Median = 69, Range = 65