Keystones — Capstone
Five GCSE retrieval questions · 23 June 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 + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 27cm, angle = 45°
Answer: 248.2cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 72, 18, 83, 88, 22, 64, 70
Answer: Mean = 53.5, Median = 70, Range = 77