Keystones — Capstone
Five GCSE retrieval questions · 2 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 23cm, angle = 53°
Answer: 165.3cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 98, 32, 19, 59, 81, 97, 33, 35
Answer: Mean = 56.8, Median = 59, Range = 79