Keystones — Capstone
Five GCSE retrieval questions · 17 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 22cm, angle = 80°
Answer: 173.3cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:5. Find a:b:c.
Answer: 9:12:20 -
5. Statistics Averages and range
Find the mean, median and range of: 73, 39, 15, 65, 92, 13, 44
Answer: Mean = 48.7, Median = 44, Range = 79