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 3: back bearings and turning problems. You can earn a trophy if you get at least 9 correct and you do this activity online.

Don't forget each of your answers should contain three digits.

 What is the opposite direction to 055°? ° What is the opposite direction to 177°? ° What is the opposite direction to 220°? ° What is the opposite direction to 273°? ° What is the opposite direction to 116°? ° What is the opposite direction to 240°? ° Flight BA001 is cruising on a bearing of 144°. The pilot makes the following turns after receiving instructions from air traffic control:Turn right through 56°Turn left through 18°What bearing is BA001 now on? ° Near the end of its journey flight TG247 is on a bearing of 274°. The pilot makes the following turns:Turn left through 21°Turn right through 19°Turn left through 15°What bearing is TG247 now on? ° After experiencing some turbulence flight LH055 is on a bearing of 316°. The pilot makes the following turns:Turn right through 49°Turn left through 11°Turn right through 47°What bearing is LH055 now on? ° Having been diverted, flight UA770 is on a bearing of 056°. The pilot makes the following turns:Turn right through 46°Turn left through 71°Turn left through 92°What bearing is UA770 now on? ° While making its final approach flight EY095 is on a bearing of 318°. The pilot makes the following turns:Turn right through 49°Turn left through 13°Turn right through 58°What bearing is EY095 now on? ° On its last day of service a 747 Jumbo is on a bearing of 058°. The pilot makes the following turns:Turn right through 43°Turn left through 82°Turn left through 93°What bearing is the 747 now on? °
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This is Bearings level 3. You can also try:
Level 1 Level 2 Level 4 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.

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Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

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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.

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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=3

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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.

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.

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