Keystones — Capstone
Five GCSE retrieval questions · 19 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 16cm, angle = 53°
Answer: 185.3cm² -
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: 87, 84, 59, 23, 71, 97, 51, 58
Answer: Mean = 66.3, Median = 71, Range = 74