Keystones — Capstone
Five GCSE retrieval questions · 3 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
2. Algebra Completing the square
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 24cm, angle = 41°
Answer: 102.3cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 8:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 91, 27, 99, 53, 26, 96, 68, 64
Answer: Mean = 65.5, Median = 68, Range = 73