Keystones — Capstone
Five GCSE retrieval questions · 16 September 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 + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 22cm, angle = 65°
Answer: 219.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:5. Find a:b:c.
Answer: 12:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 95, 19, 79, 68, 24, 100, 68, 18
Answer: Mean = 58.9, Median = 68, Range = 82