Keystones — Capstone
Five GCSE retrieval questions · 29 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
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 = 17cm, b = 25cm, angle = 66°
Answer: 194.cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 3:5. Find a:b:c.
Answer: 6:12:20 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 86, 36, 35, 80, 81, 47, 35
Answer: Mean = 57.6, Median = 61, Range = 51