Keystones — Capstone
Five GCSE retrieval questions · 20 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 18cm, angle = 53°
Answer: 115cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 15, 91, 14, 48, 51, 65
Answer: Mean = 49.4, Median = 51, Range = 77