Keystones — Capstone
Five GCSE retrieval questions · 13 June 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 + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 27cm, angle = 76°
Answer: 393cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 84, 77, 29, 27, 90, 85, 42, 72
Answer: Mean = 63.3, Median = 77, Range = 63