Keystones — Capstone
Five GCSE retrieval questions · 8 December 2025 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: √242
Answer: 11√2 -
2. Algebra Completing the square
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 19cm, angle = 59°
Answer: 154.7cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:3. Find a:b:c.
Answer: 8:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 74, 41, 64, 13, 60, 32, 61
Answer: Mean = 49.3, Median = 60, Range = 61