Keystones — Capstone
Five GCSE retrieval questions · 17 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 23cm, angle = 60°
Answer: 149.4cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:5. Find a:b:c.
Answer: 2:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 100, 39, 35, 80, 64, 68, 19
Answer: Mean = 61, Median = 68, Range = 81