Keystones — Capstone
Five GCSE retrieval questions · 13 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 18cm, angle = 47°
Answer: 85.6cm² -
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: 22, 62, 49, 26, 74, 67, 57
Answer: Mean = 51, Median = 57, Range = 52