Keystones — Capstone
Five GCSE retrieval questions · 24 October 2025 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
2. Algebra Completing the square
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 16cm, angle = 57°
Answer: 87.2cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:5. Find a:b:c.
Answer: 9:12:20 -
5. Statistics Averages and range
Find the mean, median and range of: 76, 84, 22, 41, 85, 47, 55, 19, 14
Answer: Mean = 49.2, Median = 47, Range = 71