Keystones — Capstone
Five GCSE retrieval questions · 16 June 2025 · 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 = 19cm, b = 23cm, angle = 74°
Answer: 210cm² -
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: 92, 20, 34, 58, 70, 80, 64
Answer: Mean = 59.7, Median = 64, Range = 72