Keystones — Capstone
Five GCSE retrieval questions · 18 February 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 = 16cm, b = 25cm, angle = 61°
Answer: 174.9cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 14, 64, 24, 18, 34, 39, 81, 21, 24
Answer: Mean = 35.4, Median = 24, Range = 67