Keystones — Capstone
Five GCSE retrieval questions · 6 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 (1, 7) and coefficient 6
Answer: y = 6(x - 1)² + 7 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 11cm, angle = 56°
Answer: 47cm -
4. Ratio One amount as a percentage of another
50 out of 95 students passed. What percentage passed?
Answer: 52.6% -
5. Statistics Simple probability
A spinner has 2 red, 6 blue and 3 green sections. Probability of landing on red?
Answer: 2⁄11