Keystones — Capstone
Five GCSE retrieval questions · 1 September 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 + 4.6x
Answer: (x + 2.3)² - 5.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 22cm, angle = 50°
Answer: 118cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 3:5. Find a:b:c.
Answer: 9:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 45, 46, 32, 57, 88, 61, 12, 29
Answer: Mean = 46.3, Median = 46, Range = 76