Keystones — Capstone
Five GCSE retrieval questions · 7 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 21cm, angle = 68°
Answer: 165.5cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 3:4. Find a:b:c.
Answer: 9:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 86, 85, 22, 34, 89, 73, 62, 67
Answer: Mean = 64.8, Median = 73, Range = 67