Keystones — Capstone
Five GCSE retrieval questions · 26 May 2026 · 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 + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 21cm, angle = 47°
Answer: 115.2cm² -
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: 15, 64, 26, 35, 92, 84, 53, 87
Answer: Mean = 57, Median = 64, Range = 77