Keystones — Capstone
Five GCSE retrieval questions · 17 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 24cm, angle = 78°
Answer: 270cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 95, 29, 39, 49, 95, 61, 83
Answer: Mean = 57.8, Median = 61, Range = 84