Keystones — Capstone
Five GCSE retrieval questions · 14 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√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 = 30cm, b = 22cm, angle = 62°
Answer: 291.4cm² -
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: 80, 23, 12, 88, 30, 95, 68, 40
Answer: Mean = 54.5, Median = 68, Range = 83