Keystones — Capstone
Five GCSE retrieval questions · 4 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 13cm, angle = 64°
Answer: 81.8cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:5. Find a:b:c.
Answer: 4:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 16, 93, 47, 47, 24, 72, 19, 60
Answer: Mean = 47.3, Median = 47, Range = 77