Intersecting, parallel and skew lines past paper questions

Pure Maths 3 9709 · Vectors. Decide whether two lines are parallel, intersect or are skew, and find the point of intersection.

In Cambridge A Level Pure Maths 3 9709, Intersecting, parallel and skew lines came up in 22 of the 42 papers on Paperstreak, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Scalar product, Equation of a line, Vector operations and magnitude.

22 questions, newest first

9709/31/O/N/25 Question 11 part (b) · 4 marks
9709/33/O/N/25 Question 9 part (c) · 3 marks
9709/31/M/J/25 Question 8 part (b) · 4 marks
9709/32/F/M/25 Question 8 part (a) · 5 marks
9709/31/O/N/24 Question 9 part (b) · 3 marks
9709/32/O/N/24 Question 9 part (b) · 5 marks
9709/33/O/N/24 Question 6 part (a) · 1 mark
9709/31/M/J/24 Question 9 part (b) · 4 marks
9709/32/M/J/24 Question 8 part (b) · 4 marks
9709/33/M/J/24 Question 10 part (b) · 5 marks
9709/33/O/N/23 Question 11 part (c) · 5 marks
9709/32/M/J/23 Question 11 part (a) · 5 marks
9709/32/F/M/23 Question 10 part (c) · 4 marks
9709/33/O/N/22 Question 9 part (c) · 4 marks
9709/32/M/J/22 Question 9 parts (a) (c) · 6 marks
9709/32/F/M/22 Question 10 part (c) · 4 marks
9709/31/O/N/21 Question 9 part (b) · 5 marks
9709/32/F/M/21 Question 7 part (a) · 5 marks
9709/31/O/N/20 Question 11 part (a) · 5 marks
9709/32/O/N/20 Question 8 part (c) · 4 marks
9709/33/O/N/20 Question 11 part (a) · 5 marks
9709/32/M/J/20 Question 10 part (b) · 3 marks

More in Vectors: Vector operations and magnitude, Equation of a line, Scalar product.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.