Keystones — Capstone
Five GCSE retrieval questions · 28 September 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 + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 24cm, angle = 68°
Answer: 189.cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 84, 27, 14, 62, 23, 54
Answer: Mean = 42.4, Median = 33, Range = 70