Keystones — Capstone
Five GCSE retrieval questions · 13 April 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 + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 20cm, angle = 59°
Answer: 180cm² -
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: 20, 80, 35, 31, 84, 79, 18, 59, 51
Answer: Mean = 50.8, Median = 51, Range = 66