Keystones — Capstone
Five GCSE retrieval questions · 8 September 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 = 20cm, b = 17cm, angle = 62°
Answer: 150.cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 8:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 52, 63, 35, 70, 38, 54
Answer: Mean = 53.3, Median = 54, Range = 35