Keystones — Capstone
Five GCSE retrieval questions · 8 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 27cm, angle = 50°
Answer: 165.5cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15 -
5. Statistics Averages and range
Find the mean, median and range of: 31, 37, 23, 88, 28, 10, 91, 44
Answer: Mean = 44, Median = 37, Range = 81