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Moving Points on a Grid

In this worksheet, students must state the coordinates of points that have moved horizontally or vertically on a grid.

'Moving Points on a Grid' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Coordinates in All Four Quadrants

Difficulty level:  

Worksheet Overview

When we shift points on a grid, their coordinates change because their positions have moved.


A horizontal shift will change the x-coordinate.


Shifting A 8 units to the right moves it from A(-5, -5) to B(3, -5).

We have added 8 to the x-coordinate.


Shifting B 8 units to the left moves it from B(3, -5) to A(-5, -5).

We have subtracted 8 from the x-coordinate.




A vertical shift will change the y-coordinate.


Shifting B 8 units up moves it from B(3, -5) to C(3, 3).

We have added 8 to the y-coordinate.


Shifting C 8 units down moves it from C(3, 3) to B(3, -5).

We have subtracted 8 from the y-coordinate.


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