Keystones — Capstone
Five GCSE retrieval questions · 30 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 30cm, angle = 79°
Answer: 397.6cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:3. Find a:b:c.
Answer: 4:2:6 -
5. Statistics Averages and range
Find the mean, median and range of: 67, 34, 52, 97, 89, 90, 52
Answer: Mean = 68.7, Median = 67, Range = 63