Keystones — Capstone
Five GCSE retrieval questions · 4 September 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 15cm, angle = 53°
Answer: 137.8cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 52, 12, 50, 98, 50, 15, 73, 68
Answer: Mean = 52.3, Median = 52, Range = 86