Keystones — Capstone
Five GCSE retrieval questions · 7 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 14cm, angle = 68°
Answer: 123.3cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:3. Find a:b:c.
Answer: 8:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 94, 80, 67, 27, 69, 46, 62
Answer: Mean = 63.6, Median = 67, Range = 67