Keystones — Capstone
Five GCSE retrieval questions · 30 January 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 + 4.8x
Answer: (x + 2.4)² - 5.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 27cm, angle = 62°
Answer: 143cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:5. Find a:b:c.
Answer: 8:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 78, 96, 91, 25, 38, 14
Answer: Mean = 60.7, Median = 78, Range = 82