Keystones — Capstone
Five GCSE retrieval questions · 11 September 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 + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 26cm, angle = 56°
Answer: 269.4cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 4:5. Find a:b:c.
Answer: 3:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 65, 19, 64, 84, 70, 44, 50, 57
Answer: Mean = 56.6, Median = 64, Range = 65