Keystones — Capstone
Five GCSE retrieval questions · 16 July 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 4.8x
Answer: (x + 2.4)² - 5.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 15cm, angle = 63°
Answer: 147cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:5. Find a:b:c.
Answer: 8:12:15 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 25, 43, 100, 58, 90, 49, 32, 24
Answer: Mean = 50.4, Median = 43, Range = 76