Keystones — Capstone
Five GCSE retrieval questions · 6 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
2. Algebra Completing the square
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 30cm, angle = 55°
Answer: 233.5cm² -
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: 94, 22, 71, 40, 91, 95, 78
Answer: Mean = 70.1, Median = 78, Range = 73