Using vectors and ratio to find coordinates of a point

These resources are for teaching how to answer the following type of question, common on new GCSE papers:

Points A and B have coordinates (2,3) and (8,-6). Point N is on line AB so that AN:NB = 2:1. Find the coordinates of N.

The powerpoint presentation starts with a refresher question about using ratio and then has a number of examples of the above question, with diagrams, to work through as a class. The printable version of the presentation can be given to students for them to complete as you go through the presentation.

The worksheet has 14 questions for students to complete on their own, initially with the aid of a diagram and then without for later questions. Fully worked solutions are provided.



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  • Vectors-and-ratios.pptx
  • Vectors-and-ratios-(printable-version).pptx
  • Vectors_and_ratio.pdf
  • Vectors_and_ratio_(solutions).pdf

About this resource


Created: Sep 14, 2017

Updated: Feb 22, 2018


pptx, 388 KB



pptx, 248 KB



pdf, 334 KB


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