Keystones — Capstone
Five GCSE retrieval questions · 27 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 20cm, angle = 48°
Answer: 96.6cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 4:3. Find a:b:c.
Answer: 3:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 39, 55, 24, 13, 32, 92, 48, 90
Answer: Mean = 50.6, Median = 48, Range = 79