Keystones — Capstone
Five GCSE retrieval questions · 10 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 21cm, angle = 50°
Answer: 104.6cm² -
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: 39, 15, 100, 61, 62, 27, 23
Answer: Mean = 46.7, Median = 39, Range = 85