Keystones — Capstone
Five GCSE retrieval questions · 7 June 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 + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 19cm, angle = 68°
Answer: 140.9cm² -
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: 35, 20, 21, 70, 51, 51, 50, 13, 75
Answer: Mean = 42.9, Median = 50, Range = 62