Keystones — Capstone
Five GCSE retrieval questions · 3 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 30cm, angle = 64°
Answer: 283.cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 94, 20, 33, 30, 20, 55, 86, 84
Answer: Mean = 52.8, Median = 55, Range = 74