Keystones — Capstone
Five GCSE retrieval questions · 12 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 4.8x
Answer: (x + 2.4)² - 5.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 20cm, angle = 69°
Answer: 252.cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 52, 70, 67, 25, 75, 14, 93, 48
Answer: Mean = 55.5, Median = 67, Range = 79