Keystones — Capstone
Five GCSE retrieval questions · 25 September 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 16cm, angle = 40°
Answer: 97.7cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 69, 15, 44, 64, 90, 85, 99, 70, 14
Answer: Mean = 61.1, Median = 69, Range = 85