Keystones — Capstone
Five GCSE retrieval questions · 26 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
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 = 23cm, b = 27cm, angle = 68°
Answer: 287.9cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 9:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 44, 45, 45, 65, 59, 71, 43, 90, 14
Answer: Mean = 52.9, Median = 45, Range = 76