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Midpoints on a Grid

In this worksheet, students must find the coordinates of the midpoint of a horizontal or vertical line, given its endpoints.

'Midpoints on a Grid' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Coordinates in All Four Quadrants

Difficulty level:  

Worksheet Overview

This worksheet is about identifying the midpoints of a line on a coordinate grid.

The lines will be horizontal or vertical.

You will be given the endpoints of the line.

Remember the x number comes before the y number.


To find the midpoint

  • Find the length of the whole line.
  • Halve this length.
  • Move along this half-distance from either of the endpoints.



Find the coordinates of M, the midpoint of AC shown on the grid below.



The line AC is 8 units long. 


Count the squares to check.

A has an x-coordinate of -5.

B has an x-coordinate of +3.

From -5 up to +3 is 8 units.


The half-distance is 8 ÷ 2 = 4 units.


M is the midpoint on the line AC.

It is 4 units to the right of A and 4 units to the left of C.

The coordinates of M are (-1, -3).

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