Keystones — Capstone
Five GCSE retrieval questions · 25 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 26cm, angle = 49°
Answer: 294.3cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 84, 52, 60, 55, 14, 33, 44, 43
Answer: Mean = 48.1, Median = 52, Range = 70