Keystones — Capstone
Five GCSE retrieval questions · 31 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 23cm, angle = 76°
Answer: 323.6cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 88, 20, 65, 56, 95, 98, 67, 47, 43
Answer: Mean = 64.3, Median = 65, Range = 78