Keystones — Capstone
Five GCSE retrieval questions · 28 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 15cm, angle = 45°
Answer: 90.2cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 75, 10, 12, 36, 17, 51, 31
Answer: Mean = 33.1, Median = 31, Range = 65