Keystones — Capstone
Five GCSE retrieval questions · 12 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 26cm, angle = 68°
Answer: 241.cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:5. Find a:b:c.
Answer: 3:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 71, 34, 18, 90, 34, 11, 100, 18
Answer: Mean = 47, Median = 34, Range = 89