Keystones — Capstone
Five GCSE retrieval questions · 25 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 13cm, angle = 73°
Answer: 93.2cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 41, 79, 66, 86, 38, 54, 68
Answer: Mean = 61.7, Median = 66, Range = 48