Keystones — Capstone
Five GCSE retrieval questions · 20 April 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 30cm, angle = 60°
Answer: 168.9cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 4:3. Find a:b:c.
Answer: 16:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 93, 45, 29, 44, 53, 86, 40, 15, 34
Answer: Mean = 48.8, Median = 44, Range = 78