Keystones — Capstone
Five GCSE retrieval questions · 9 February 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 + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 17cm, angle = 70°
Answer: 183.7cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 3:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 80, 81, 36, 57, 89, 90, 75, 58, 63
Answer: Mean = 69.9, Median = 75, Range = 54