Keystones — Capstone
Five GCSE retrieval questions · 9 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√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 = 27cm, b = 30cm, angle = 47°
Answer: 296.2cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 3:4:8 -
5. Statistics Averages and range
Find the mean, median and range of: 68, 95, 70, 99, 47, 62, 40, 29, 76
Answer: Mean = 65.1, Median = 68, Range = 70