Keystones — Capstone
Five GCSE retrieval questions · 10 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 + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 20cm, angle = 49°
Answer: 173.6cm² -
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: 14, 81, 63, 24, 98, 90, 19, 51, 40
Answer: Mean = 53.3, Median = 51, Range = 84