Keystones — Capstone
Five GCSE retrieval questions · 9 July 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 + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 25cm, angle = 42°
Answer: 167.3cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:5. Find a:b:c.
Answer: 2:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 59, 59, 66, 32, 14, 50, 94, 78, 35
Answer: Mean = 54.1, Median = 59, Range = 80