Keystones — Capstone
Five GCSE retrieval questions · 3 August 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 + 4.6x
Answer: (x + 2.3)² - 5.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 12cm, angle = 68°
Answer: 139.cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:3. Find a:b:c.
Answer: 3:2:6 -
5. Statistics Averages and range
Find the mean, median and range of: 23, 59, 28, 13, 60, 68, 90, 44, 86
Answer: Mean = 52.3, Median = 59, Range = 77