Keystones — Capstone
Five GCSE retrieval questions · 1 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√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 = 24cm, b = 22cm, angle = 48°
Answer: 196.2cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 72, 71, 82, 83, 30, 88, 27, 64
Answer: Mean = 64.6, Median = 72, Range = 61