Keystones — Capstone
Five GCSE retrieval questions · 21 July 2025 · 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 + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 12cm, angle = 47°
Answer: 61.4cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 84, 62, 74, 74, 71, 85, 87, 93, 12
Answer: Mean = 71.3, Median = 74, Range = 81