Keystones — Capstone
Five GCSE retrieval questions · 7 October 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 + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 26cm, angle = 45°
Answer: 202.2cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:3. Find a:b:c.
Answer: 4:2:6 -
5. Statistics Averages and range
Find the mean, median and range of: 46, 94, 32, 40, 98, 16, 47, 97
Answer: Mean = 58.8, Median = 47, Range = 82