Keystones — Capstone
Five GCSE retrieval questions · 19 March 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 + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 13cm, angle = 47°
Answer: 137.9cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 48, 16, 47, 55, 64, 17, 64, 72
Answer: Mean = 44.4, Median = 48, Range = 56