Keystones — Capstone
Five GCSE retrieval questions · 7 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 = 26cm, b = 30cm, angle = 53°
Answer: 311.5cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:3. Find a:b:c.
Answer: 2:4:12 -
5. Statistics Averages and range
Find the mean, median and range of: 22, 69, 50, 59, 91, 86, 67
Answer: Mean = 63.4, Median = 67, Range = 69