Keystones — Capstone
Five GCSE retrieval questions · 24 October 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 15cm, angle = 69°
Answer: 84cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 8:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 98, 99, 36, 24, 59, 74, 93
Answer: Mean = 69, Median = 74, Range = 75