Keystones — Capstone
Five GCSE retrieval questions · 22 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
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 = 24cm, b = 29cm, angle = 77°
Answer: 339.cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:5. Find a:b:c.
Answer: 8:6:15 -
5. Statistics Averages and range
Find the mean, median and range of: 95, 97, 33, 29, 45, 50, 78
Answer: Mean = 61, Median = 50, Range = 68