Keystones — Capstone
Five GCSE retrieval questions · 25 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 16cm, angle = 57°
Answer: 194.6cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 25, 81, 60, 92, 79, 47, 49, 34, 12
Answer: Mean = 53.2, Median = 49, Range = 80