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Maths Learn & Test Study Notes

Compass and Directions

📖Definition

The compass has four main points, in clockwise order, North, East, South, West or N,E,S,W Halfway inbetween each adjacent pair are North East, South East, South West, North West.

Diagram

compass
The angle between a pair of adjacent set of points is 45°. So, the angle between South West and West is 45°

💡Tips/hints

Learn the compass points, especially West and East which are easy to mix up.

✏️Example

On the grid, A represents Annie's house. From there she walks 2 squares north, 3 squares east and 1 square north. What are the coordinates of her current position?

Diagram

11P compass directions ex

Solution

Simply plot the route on the grid. The coordinates of A are (3, 5). 2 squares north is (3, 7). 3 squares east is (6, 7). 1 square north is (6, 8)

✏️Example

A robot has been programmed to follow directions. From its starting position it goes forward 30m, then turns left through 60° and then goes forward 50m. What are the reverse instructions that will take it back to the start?

Diagram

11P non coord directions ex

Solution

You must simply go through the instructions in reverse order AND reverse each instruction so Forward becomes Back and Left becomes Right. So, Back 50m, Right through 60° and Back 30m will get the robot back to the start.