Keystones — Capstone
Five GCSE retrieval questions · 20 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
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 = 13cm, b = 22cm, angle = 72°
Answer: 136cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 59, 62, 32, 53, 97, 28, 98, 91
Answer: Mean = 59, Median = 59, Range = 87