Keystones — Capstone
Five GCSE retrieval questions · 5 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 26cm, angle = 41°
Answer: 196.2cm² -
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: 95, 62, 53, 73, 92, 66, 54
Answer: Mean = 70.7, Median = 66, Range = 42