Keystones — Capstone
Five GCSE retrieval questions · 15 December 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 + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 29cm, angle = 62°
Answer: 243.3cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 4:5. Find a:b:c.
Answer: 16:12:15 -
5. Statistics Averages and range
Find the mean, median and range of: 54, 54, 70, 70, 22, 19, 29, 29
Answer: Mean = 43.4, Median = 54, Range = 51