Keystones — Capstone
Five GCSE retrieval questions · 6 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 16cm, angle = 66°
Answer: 109.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 3:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 40, 61, 39, 73, 40, 43, 23, 71, 51
Answer: Mean = 49, Median = 43, Range = 50