Keystones — Capstone
Five GCSE retrieval questions · 26 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 19cm, angle = 64°
Answer: 128.cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 64, 41, 74, 73, 88, 40, 48
Answer: Mean = 61.1, Median = 64, Range = 48