Keystones — Capstone
Five GCSE retrieval questions · 23 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 24cm, angle = 47°
Answer: 219.4cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:2. Find a:b:c.
Answer: 2:4:8 -
5. Statistics Averages and range
Find the mean, median and range of: 13, 96, 90, 64, 100, 22, 87
Answer: Mean = 67.4, Median = 87, Range = 87