Keystones — Capstone
Five GCSE retrieval questions · 23 February 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 = 27cm, b = 18cm, angle = 50°
Answer: 186.cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 3:5. Find a:b:c.
Answer: 6:12:20 -
5. Statistics Averages and range
Find the mean, median and range of: 95, 10, 15, 39, 60, 37, 28, 61, 49
Answer: Mean = 43.8, Median = 39, Range = 85