Keystones — Capstone
Five GCSE retrieval questions · 6 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
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 = 24cm, b = 17cm, angle = 49°
Answer: 154cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:5. Find a:b:c.
Answer: 12:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 89, 21, 89, 42, 47, 58
Answer: Mean = 58.1, Median = 58, Range = 68