Keystones — Capstone
Five GCSE retrieval questions · 2 October 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 17cm, angle = 40°
Answer: 142.cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:5. Find a:b:c.
Answer: 12:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 84, 54, 47, 95, 80, 38, 12, 21
Answer: Mean = 53.9, Median = 54, Range = 83