Keystones — Capstone
Five GCSE retrieval questions · 13 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 17cm, angle = 69°
Answer: 190.5cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 3:5. Find a:b:c.
Answer: 4:3:5 -
5. Statistics Averages and range
Find the mean, median and range of: 22, 71, 76, 83, 95, 80, 28
Answer: Mean = 65, Median = 76, Range = 73