Keystones — Capstone
Five GCSE retrieval questions · 22 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 15cm, angle = 44°
Answer: 99cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 87, 59, 37, 59, 42, 26, 52, 45
Answer: Mean = 50.9, Median = 52, Range = 61