Keystones — Capstone
Five GCSE retrieval questions · 2 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 + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 21cm, angle = 45°
Answer: 200.5cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 28, 16, 10, 42, 28, 26, 46
Answer: Mean = 28, Median = 28, Range = 36