Keystones — Capstone
Five GCSE retrieval questions · 24 December 2025 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 21cm, angle = 47°
Answer: 215cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 4:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 68, 40, 26, 15, 25, 83, 29, 92
Answer: Mean = 47.3, Median = 40, Range = 77