# 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 1: converting between compass directions and three figure bearings. You can earn a trophy if you get at least 9 correct and you do this activity online.

 What is the three figure bearing of west? ° What is the three figure bearing of south? ° What is the three figure bearing of east? ° What is the three figure bearing of north-west? ° What is the three figure bearing of south-east? ° What is the three figure bearing of north-east? ° Niles is driving south-west. In his rear-view mirror he can see a tower directly behind him. What is the three figure bearing of the tower from his current position? ° Frasier is hiking in a north-westerly direction then he turns right (90°). What is the three figure bearing of his direction now? ° Daphne is swimming in a lake. After swimming in a north-westerly direction she turns around (180°). What is the three figure bearing of her direction now? ° Subramanian is facing north-east. How many degrees does he have to turn through clockwise to face south? ° Susan is facing south-east. How many degrees does she have to turn through anticlockwise to face north-west? ° Noi is facing north-west. How many degrees does he have to turn through clockwise until he is facing south? °
Check

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

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## 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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

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.]"

Lahi, New Zealand

Wednesday, October 20, 2021

"There seems to be a problem with the question: "What is the three figure bearing of east?" and "What is the three figure bearing of north-east?". If I am correct the answer to the first one is 90 degrees and the other one is 45 degrees. But when I answer it the system says it's wrong. If this is because I got the answer wrong my apologies. Thanks in advance!

[Transum: You are almost correct Lahi but you need to think about the words “three figure” in the question]"

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.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=683

Close

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

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.

Close