Keystones — Capstone
Five GCSE retrieval questions · 3 February 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 + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 26cm, angle = 76°
Answer: 239.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:3. Find a:b:c.
Answer: 8:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 10, 75, 30, 100, 34, 45, 62, 63, 52
Answer: Mean = 52.3, Median = 52, Range = 90