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Practise your ability to interpret and use three-figure bearings with this self-marking exercise.

Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Bearings

This is level 4: creating scale diagrams and making accurate measurements of given situations. You can earn a trophy if you get at least 4 correct and you do this activity online.

For the following questions you should make scale drawings and measure the angles as accurately as you can. Two degrees either side of the correct answer are allowed.

If B is 10km on a bearing of 030° from A and C is 10km on a bearing of 180° from B. Find the three-figure bearing of C from A.

° Correct Wrong

If E is 6km on a bearing of 130° from D and F is 12km due north of E. Find the three-figure bearing of F from D.

° Correct Wrong

If J is 8km on a bearing of 300° from H and K is 15km on a bearing of 090° from J. Find the three-figure bearing of K from H.

° Correct Wrong

Greenleaf Park is in the shape of a rectangle 300m by 180m. The shorter sides run north-south. What is the three figure bearing of the south-east corner from the north-west corner?

° Correct Wrong

BoatThe Talay coast is perfectly straight and stretches from Alum Chine (A) to Bear Walk (B) which is 20km due east of point A. A small boat is observed 025° from A and 305° from B. What is the bearing of the boat from the midpoint of AB?

° Correct Wrong

TriangleThe Triagon botanical gardens are in the shape of an isosceles right-angled triangle. The hypotenuse of the triangle forms the northern perimeter of the gardens and stretches 2km in an east-west direction.Find the bearing from the north-east corner of the gardens to the midpoint of the opposite side.

° Correct Wrong


This is Bearings level 4. You can also try:
Level 1 Level 2 Level 3 Level 5


Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:


Monday, July 24, 2017

"This is a page from a Scout's notebook written around 1966.


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Leaning about Bearings

Before beginning these exercises it would be helpful to develop bearing estimation skills with the Plane Bearings activity.

Level 1 - Converting between compass directions and three figure bearings

Level 2 - Measuring simple bearings on screen using a draggable protractor

Level 3 - Back bearings and turning problems

Level 4 - Creating scale diagrams and making accurate measurements of given situations

Level 5 - Using angle theorems and trigonometry to solve bearing problems

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

After working hard on these exercises treat yourself to some relaxation playing Snooker Angles.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Compass Points

Compass Points

This video is from the wonderful Corbettmaths.

See also this video on measuring bearings from UKMatheTeacher.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up