Scale Factors

Here are some questions about enlargements and scale factors.

1. A photograph is 16cm long. It is enlarged by a scale factor of two. How long will the enlargement be?
Artist

Working:

cm
2. The statue of a cat is 162cm tall which is six times bigger then the actual cat which was used as the model. How tall is the real cat?
Cat

Working:

cm
3. A rectangle has an area of 13cm2. A second rectangle is similar to the first but its dimensions are two times bigger. What is the area of the second rectangle?

Working:

cm2
4. A box has a surface area of 150cm2. A second box is 2 times as wide,2 times as long and 2 times as tall. What is the surface area of the second box?
Box

Working:

cm2
5. The smaller box shown above has a volume of 125cm3. What is the volume of the second box given that its dimensions are twice the first box's?

Working:

cm3
6. The volume of a large bottle of wine is 2700ml. A minature bottle is similar to the large bottle but its dimensions are three times smaller. What is the volume of the smaller bottle?

Working:

ml
7. The area of a piece of land is 56.32m2. The same piece of land is shown on a map by an area of 22cm2. How long would a footpath be if on the map it is 17cm long?

Working:

m
8. A real bus is sixteen times as long as a model which was used in the design process. All of the other dimensions are in proportion. The area of the glass in the windows of the model is 1m2. What is the area of the glass in the real bus?
Bus

Working:

m2
9. The capacity of the fuel tank of the real bus mentioned above is 69632cc. What is the capacity of the fuel tank on the model?

Working:

cc
10. The model bus has five tyres (including the spare). How many tyres does the real bus have?

Working:

tyres

 

Instructions
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. 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.

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:

ICT

"Imaginative use of ICT should help engage more learners in the excitement of learning. Borrowing ideas from the world of interactive games, we can motivate even reluctant learners to practice complex skills and achieve much more than they would through traditional means. New technologies can attract new kinds of learners into lifelong learning. Wider access to these more compelling learning experiences will contribute to the ambitions of our Skills Strategy to offer employers better support for skills and training."

Secretary of State for Education and Skills

Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

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 primary and lower secondary level.

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.

© www.transum.org