# Bearings

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

##### Level 1Level 2Level 3Level 4Level 5Exam-StyleDescriptionHelpMore 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. ° 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. ° 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. ° 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? ° The 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? ° The 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. °
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This is Bearings level 4. You can also try:
Level 1 Level 2 Level 3 Level 5

## Instructions

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.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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#### ChrisMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

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:

Transum,

Monday, July 24, 2017

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

"

Colin, Home

Thursday, November 23, 2017

"On bearings level 3 question 6. the opposite bearing of 208 degrees is 028 degrees. your answer is 28 degrees. you only have 2 digits.

[Transum: Thanks so much Colin, for highlighting this error. The questions are generated from random numbers and the algorithm used in question 6 missed the three digit rule. The bug has now been eliminated. I hope your students enjoy this exercise.]"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Activity/Bearings/Exercise.asp?Level=4

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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.

## Compass Points

This video is from the wonderful Corbettmaths.