Keystones — Capstone
Five GCSE retrieval questions · 20 September 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 + 4.8x
Answer: (x + 2.4)² - 5.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 25cm, angle = 43°
Answer: 230.2cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 88, 43, 44, 16, 16, 96, 34, 22, 58
Answer: Mean = 46.3, Median = 43, Range = 80