Keystones — Capstone
Five GCSE retrieval questions · 4 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 23cm, angle = 45°
Answer: 187cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:3. Find a:b:c.
Answer: 6:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 92, 29, 47, 22, 87, 31
Answer: Mean = 48.7, Median = 33, Range = 70