Scale Drawings


"Measure line segments and angles in geometric figures, including interpreting scale drawings."

This is the scale drawing of a room. The scale is 1 centimetre represents 1 metre. Use the ruler to measure the length of the room then work out the length of the real room in metres to one decimal place.

m Correct Wrong
You can drag the ruler onto the diagram

This is the scale drawing of Trapezium Park. Use the protractor to measure the acute angle of the corner of the park by the rose garden. Give your answer to the nearest whole number.

o Correct Wrong
You can drag the protractor onto the diagram

This is a map of Transum Island. The scale is 1:100000. Give your answers in kilometers to one decimal place.

Calculate the distance between Clear Spring and Lightening Tree.

km Correct Wrong

Calculate the distance between Campfire Hollow and the Treasure Chest.

km Correct Wrong

Calculate the distance between Boffin's Grave and the Lookout Point.

km Correct Wrong
Press 'Shift' and drag to rotate the ruler.

This is the floor plan of a house. Measure the internal angle between the walls at the corner of the house by the rose bush.

o Correct Wrong

Measure the obtuse external angle between the walls
near the pool.

o Correct Wrong
Press 'Shift' and drag to rotate the protractor.

This is a house floor plan with a scale of 1:250. Calculate the following lengths in the actual house to 1 decimal place.

The diagonal of the family room.

m Correct Wrong

The diagonal of the pantry.

m Correct Wrong

The diagonal of the house from the corner of the laundry to the corner of dining room.

m Correct Wrong
Press 'Shift' and drag to rotate the ruler.

This is a student entry to NASA's Lunar Research Station Design Challenge. Measure the acute angle of the room where the kitchen is.

o Correct Wrong

Measure the obtuse external angle between the walls at the back of the storage area in the dorm nearest the treadmill.

o Correct Wrong
Press 'Shift' and drag to rotate the protractor.

Now You Could Try:

Map Scales

Map Scales

Test your understanding of map scales expressed as ratios with this online exercise. There are two levels to try and trophies available.

Give it a go!


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.

Why am I learning this?

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 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the i asp?ID_Top 'Starter of the Day' page by Ros, Belize:

"A really awesome website! Teachers and students are learning in such a fun way! Keep it up..."

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Featured Activity

Remainder Race

Remainder Race

A brilliant game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number. There are one and two player versions and the rules are inspired by the Royal Game of Ur.


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.

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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.


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 should go offline for whatever reason, there is a mirror site at that contains most of the resources that are available here on

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


Tuesday, June 17, 2014

"Apologies for the fact that the rotation of the measuring instruments does not work in older versions of Internet Explorer (version 8 and previous versions). Apologies also that this activity is not very functional on an iPad due to the lack of a shift key."

Fiona, St Johns Primary

Monday, August 19, 2019

"The ruler is inaccurate showing 2 cm as 1 cm.

[Transum: Thanks for your feedback Fiona. I have looked at the image of the ruler and to me it looks correct. Maybe you are referring to how big 1cm looks on your screen - that will depend on the size of your screen and the current zoom level. If projected onto a screen 1cm will be huge! Am I missing something do you think?]"

Joel John Leslie Wilson, Whakatane NZ

Tuesday, May 3, 2022

"The diagonal of the house from the corner of the laundry to the corner of dining room. we tried to answer this question about 75 times and we could not get the answer right. You should specify which corners we should measure rather than naming two rooms. Could you please tell us the answer to this question?

[Transum: Hi Joel, John, Leslie and Wilson. Seventy five attempts makes me think you are very determined. Well done. The question asks you to find diagonal of the house so that should give you a clue as to which corners of the rooms you should be using. I have just tried doing this question and got it right on my first attempt. I rotated the ruler so that I could measure the distance, in centimetres, from the bottom left corner of the laundry to the top right corner of the dining room (inside the walls). I multiplied this measurement by the scale factor of 250 then I divided by 100 to convert to metres. Finally I rounded my answer to one decimal place as instructed. Did you miss out one of these steps?]"

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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