Transum Software

Vectors

An online exercise on addition and subtraction of vectors and diagrammatic representations of vectors.

Level 1 Level 2 Level 3 Level 4 Level 5 Description Help More Vectors
Vectors with ratios

The diagram shows an irregular hexagon ABCDEF which has vertical and horizontal lines of symmetry.

Opposite sides of the hexagon are parallel.

$$\overrightarrow{ED} = \pmb{g}$$ $$\overrightarrow{DC} = \pmb{h}$$

The diagram is not to scale.

1. Let's begin with a nice easy, straight-forward question. Choose the option below which shows the vector representation of \(\overrightarrow{EC}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

2. Find \(\overrightarrow{BF}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

3. The ratio of FC to ED is 5:2. Find \(\overrightarrow{FC}\) in terms of \(\pmb{g}\).

Correct Wrong

4. Find \(\overrightarrow{EF}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

5. The point M is the midpoint of DC. Find \(\overrightarrow{EM}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

6. The point N lies on ED such that the ratio of EN to ND is 1:2. Find \(\overrightarrow{CN}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

7. The point P lies on FA such that the ratio FP to PA is 4:3. Find \(\overrightarrow{CP}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

8. Find \(\overrightarrow{NP}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

9. Find \(\overrightarrow{PM}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

10. The line AB is extended to X such that the ration AB to AX is 2:7. Find \(\overrightarrow{EX}\) in terms of \(\pmb{g}\) and \(\pmb{h}\).

Correct Wrong

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

Instructions

Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, 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. You can also claim a 'Transum Trophy' by completing this quiz.

Transum.org

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

Please contact us if you have any suggestions or Questions.

Email address

More Activities:

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Featured Activity

Strategy Games

Strategy Games

We have collected together lots of strategy games for you to enjoy. Many of them have mathematical principles involved in their design so would make a good activity for a Mathematics lesson.

Answers

There are answers to this exercise but they are only available to teachers who have subscribed to Transum and are currently signed in on this computer.

A Transum subscription unlocks the answers to most of the student online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum topic pages so that teachers can easily find the excellent resources we have found and add to the collection themselves.

Class lists, lesson plans and assessment data can also be stored in the Class Admin application and the teacher also has access to the Transum Trophies earned by class members.

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. Click here for more activities designed for students in upper Secondary/High school.

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:

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.

Description of Levels

Close

Close

Level 1 - Addition and subtraction of vectors and multiplication of vectors by a scalar.

Level 2 - Diagrammatic representations and the modulus of vectors.

Level 3 - Diagrammatic representations and ratios.

Level 4 - GCSE style exam questions

Level 5 - IB and A Level style questions

Quad Midpoints An Advanced Lesson Starter which can be answered using vectors.

More Vectors A link to the curriculum page for vectors.

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

And now for something completely different. Help the cops catch the robbers by finding the vectors that will end the chase.

Transum.org/go/?to=Vectorcops

Student Activity

Example

The video above is from Maths Genie.

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

Close

Close