Keystones — Capstone
Five GCSE retrieval questions · 18 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 + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 26cm, angle = 75°
Answer: 351.6cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 72, 42, 86, 80, 92, 72, 83, 70
Answer: Mean = 74.6, Median = 80, Range = 50