Keystones — Capstone
Five GCSE retrieval questions · 26 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√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 = 15cm, b = 21cm, angle = 71°
Answer: 148.9cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 77, 52, 74, 75, 72, 68, 35
Answer: Mean = 64.7, Median = 72, Range = 42