Keystones — Capstone
Five GCSE retrieval questions · 27 December 2025 · 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 + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 25cm, angle = 69°
Answer: 303.4cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 3:5. Find a:b:c.
Answer: 6:12:20 -
5. Statistics Averages and range
Find the mean, median and range of: 30, 90, 68, 86, 71, 97, 38
Answer: Mean = 68.6, Median = 71, Range = 67