Keystones — Capstone
Five GCSE retrieval questions · 19 July 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 + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 28cm, angle = 55°
Answer: 298.2cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 4:5. Find a:b:c.
Answer: 2:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 77, 80, 53, 27, 71, 24, 36
Answer: Mean = 52.6, Median = 53, Range = 56