Keystones — Capstone
Five GCSE retrieval questions · 7 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 (5, 4) and coefficient 5
Answer: y = 5(x - 5)² + 4 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 17cm, angle = 54°
Answer: 69.3cm -
4. Ratio One amount as a percentage of another
35 out of 75 students passed. What percentage passed?
Answer: 46.7% -
5. Statistics Simple probability
A spinner has 2 red, 6 blue and 2 green sections. Probability of landing on red?
Answer: 1⁄5