Keystones — Capstone
Five GCSE retrieval questions · 16 February 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 29cm, angle = 42°
Answer: 252.3cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 56, 19, 21, 47, 96, 70, 45, 16, 57
Answer: Mean = 47.4, Median = 47, Range = 80