Keystones — Capstone
Five GCSE retrieval questions · 8 October 2026 · mathsvault.uk/keystones
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1. Number Adding and subtracting surds
Simplify: 12√3 - 8√3
Answer: 4√3 -
2. Algebra Quadratic from a turning point
Find equation with turning point (2, 8) and coefficient 5
Answer: y = 5(x - 2)² + 8 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 23cm, angle = 41°
Answer: 73.5cm -
4. Ratio One amount as a percentage of another
42 out of 86 students passed. What percentage passed?
Answer: 48.8% -
5. Statistics Simple probability
A spinner has 4 red, 5 blue and 6 green sections. Probability of landing on red?
Answer: 4⁄15