Keystones — Capstone
Five GCSE retrieval questions · 5 March 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 + 4.2x
Answer: (x + 2.1)² - 4.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 14cm, angle = 78°
Answer: 89cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 3:5. Find a:b:c.
Answer: 4:3:5 -
5. Statistics Averages and range
Find the mean, median and range of: 63, 72, 42, 45, 35, 54, 90
Answer: Mean = 57.3, Median = 54, Range = 55