Keystones — Capstone
Five GCSE retrieval questions · 1 September 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
2. Algebra Completing the square
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 28cm, angle = 79°
Answer: 302.3cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 4:6:9 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 41, 51, 44, 20, 91, 88, 82, 96
Answer: Mean = 60.7, Median = 51, Range = 76