Keystones — Capstone
Five GCSE retrieval questions · 5 February 2026 · mathsvault.uk/keystones
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1. Number Adding and subtracting surds
Simplify: √8 + √18
Answer: 2√2 + 3√2 = 5√2 -
2. Algebra Quadratic from a turning point
Find equation with turning point (2, 7) and coefficient 3
Answer: y = 3(x - 2)² + 7 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 19cm, angle = 41°
Answer: 60.7cm -
4. Ratio One amount as a percentage of another
44 out of 95 students passed. What percentage passed?
Answer: 46.3% -
5. Statistics Simple probability
A spinner has 6 red, 3 blue and 5 green sections. Probability of landing on red?
Answer: 3⁄7