Keystones — Capstone
Five GCSE retrieval questions · 14 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
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 = 30cm, b = 17cm, angle = 54°
Answer: 206.3cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:4. Find a:b:c.
Answer: 2:3:4 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 90, 89, 33, 14, 23, 92
Answer: Mean = 57.6, Median = 62, Range = 78