Keystones — Capstone
Five GCSE retrieval questions · 9 April 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 + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 29cm, angle = 78°
Answer: 368.8cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 4:5. Find a:b:c.
Answer: 3:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 67, 55, 70, 83, 100, 95, 46
Answer: Mean = 73.7, Median = 70, Range = 54