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Faces, Edges and Vertices

Show your ability to recognise the attributes of three dimensional solid shapes with this self marking quiz.

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This is level 1; Count the number of faces, edges and vertices. You can earn a trophy if you get at least seven questions correct.

How many faces does a cube have?Platonic Solid Animation Correct Wrong
How many edges does a cube have? Correct Wrong
How many vertices does a cube have? Correct Wrong
How many vertices does a triangular prism have?Triangular Prism Correct Wrong
How many edges does a tetrahedron have?Platonic Solid Animation Correct Wrong
How many faces does a tetrahedron have? Correct Wrong
How many faces does a square based pyramid have? Correct Wrong
How many vertices does a square based pyramid have? Correct Wrong
How many edges does a hexagonal prism have? Correct Wrong
How many faces does a pentagonal prism have? Correct Wrong
Check

Can you find a connection between the number of faces, vertices and edges of any polyhedron?

This is Faces, Edges and Vertices level 1. You can also try:
Level 2 Level 3

The animated diagrams are licensed by Kjell André under the Creative Commons Attribution-Share Alike 3.0 Unported license.

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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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 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:

"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."

Whose Idea Was This?

Did you enjoy doing this 'Faces, Edges and Vertices' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept.

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Answers

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.

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!

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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Description of Levels

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Level 1 - Count the number of faces, edges and vertices.

Level 2 - Discovering Euler's Formula.

Level 3 - Applying Euler's Formula.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Leonhard Euler - Find out more about more about the person who is considered one of the greatest mathematicians of all time.

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Nets of 3D Shapes

Nets
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.

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