Keystones — Capstone
Five GCSE retrieval questions · 15 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 29cm, angle = 74°
Answer: 209.cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 4:3:6 -
5. Statistics Averages and range
Find the mean, median and range of: 93, 48, 29, 45, 18, 25, 66
Answer: Mean = 46.3, Median = 45, Range = 75