Keystones — Capstone
Five GCSE retrieval questions · 23 July 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 + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 29cm, angle = 46°
Answer: 208.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:3. Find a:b:c.
Answer: 6:4:3 -
5. Statistics Averages and range
Find the mean, median and range of: 99, 88, 46, 13, 24, 32, 47
Answer: Mean = 49.9, Median = 46, Range = 86