Keystones — Capstone
Five GCSE retrieval questions · 30 November 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 + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 23cm, angle = 53°
Answer: 275.5cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 66, 42, 95, 55, 15, 21, 88, 59, 90
Answer: Mean = 59, Median = 59, Range = 80