Keystones — Capstone
Five GCSE retrieval questions · 26 June 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 + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 24cm, angle = 57°
Answer: 161cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 70, 80, 49, 41, 39, 67, 44, 37
Answer: Mean = 53.4, Median = 49, Range = 43