Keystones — Capstone
Five GCSE retrieval questions · 24 August 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 + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 20cm, angle = 67°
Answer: 239.3cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:5. Find a:b:c.
Answer: 2:3:5 -
5. Statistics Averages and range
Find the mean, median and range of: 73, 11, 92, 21, 57, 47, 81
Answer: Mean = 54.6, Median = 57, Range = 81