Keystones — Capstone
Five GCSE retrieval questions · 8 March 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 15cm, angle = 41°
Answer: 147.6cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 12:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 26, 79, 99, 17, 70, 41, 94, 23, 64
Answer: Mean = 57, Median = 64, Range = 82