Keystones — Capstone
Five GCSE retrieval questions · 16 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 28cm, angle = 78°
Answer: 164.3cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:3. Find a:b:c.
Answer: 8:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 60, 27, 28, 52, 78, 34
Answer: Mean = 44.6, Median = 34, Range = 51