Keystones — Capstone
Five GCSE retrieval questions · 26 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 17cm, angle = 60°
Answer: 117.8cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15 -
5. Statistics Averages and range
Find the mean, median and range of: 20, 68, 21, 18, 10, 54, 61, 17
Answer: Mean = 33.6, Median = 21, Range = 58