Keystones — Capstone
Five GCSE retrieval questions · 18 November 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 17cm, angle = 63°
Answer: 98.5cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 4:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 95, 48, 48, 58, 68, 52, 48, 96
Answer: Mean = 64.1, Median = 58, Range = 48