Keystones — Capstone
Five GCSE retrieval questions · 31 May 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 + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 21cm, angle = 74°
Answer: 282.6cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 27, 32, 23, 17, 49, 63, 32, 38
Answer: Mean = 35.1, Median = 32, Range = 46