Keystones — Capstone
Five GCSE retrieval questions · 27 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 27cm, angle = 54°
Answer: 174.7cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:3. Find a:b:c.
Answer: 6:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 94, 50, 88, 97, 88, 41, 67
Answer: Mean = 75, Median = 88, Range = 56