Keystones — Capstone
Five GCSE retrieval questions · 4 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 = 14cm, b = 30cm, angle = 53°
Answer: 167.7cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 27, 76, 39, 59, 58, 23, 70
Answer: Mean = 50.3, Median = 58, Range = 53