Keystones — Capstone
Five GCSE retrieval questions · 30 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 + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 28cm, angle = 42°
Answer: 159.3cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:3. Find a:b:c.
Answer: 2:4:12 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 60, 85, 25, 65, 60, 76
Answer: Mean = 55.4, Median = 60, Range = 68