Vectors: past paper questions
Real questions on vectors
The newest 20 of 133 written questions. Open one to see it on the real paper.
- 9231/11 · October/November 2025 · Q5a[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · October/November 2025 · Q5b[3]
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See it on the paper → - 9231/11 · October/November 2025 · Q5c[4]
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See it on the paper → - 9231/12 · October/November 2025 · Q6a[2]
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See it on the paper → - 9231/12 · October/November 2025 · Q6b[4]
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See it on the paper → - 9231/12 · October/November 2025 · Q6c[8]
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See it on the paper → - 9231/13 · October/November 2025 · Q2a[2]
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See it on the paper → - 9231/13 · October/November 2025 · Q2b[2]
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See it on the paper → - 9231/13 · October/November 2025 · Q2c[2]
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See it on the paper → - 9231/13 · October/November 2025 · Q2d[5]
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See it on the paper → - 9231/13 · October/November 2025 · Q5a[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/13 · October/November 2025 · Q5b[3]
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See it on the paper → - 9231/13 · October/November 2025 · Q5c[4]
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See it on the paper → - 9231/21 · October/November 2025 · Q2a[2]
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See it on the paper → - 9231/21 · October/November 2025 · Q2b[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/21 · October/November 2025 · Q2c[2]
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See it on the paper → - 9231/21 · October/November 2025 · Q3a[5]
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See it on the paper → - 9231/21 · October/November 2025 · Q3b[4]
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See it on the paper → - 9231/42 · October/November 2025 · Q4a[2]
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See it on the paper → - 9231/11 · May/June 2025 · Q6a[5]
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What examiners said
Finding the direction of the common perpendicular was well done. The majority of candidates then found a vector joining a point on each line and projected it on to the normal to accurately find the distance. A small number tried to find where the common perpendicular intersects each line, but these attempts were rarely complete.
— Examiner report, October/November 2023, 9231/11 Q4(a) (Cambridge)
A few candidates confused the position vector of the given point with a direction vector. Successful solutions found a second direction using a point on the line l1.
— Examiner report, October/November 2023, 9231/11 Q4(b) (Cambridge)
This was usually correct, with the vector product method being most popular and a few using simultaneous equations.
— Examiner report, October/November 2023, 9231/12 Q5(a) (Cambridge)
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