Transum Software

Area of a Trapezium

Check that you can find the area of a trapezium and use the trapezium area formula for problem solving.

Level 1 Level 2 Description Help More Areas

This is level 1: find the areas of the trapezia. You can earn a trophy if you get at least 7 questions correct and you do this activity online. The diagrams are not drawn to scale.

Trapezium Diagram 1

Working:

cm2 Correct Wrong
Trapezium Diagram 2

Working:

cm2 Correct Wrong
Trapezium Diagram 3

Working:

cm2 Correct Wrong
Trapezium Diagram 4

Working:

mm2 Correct Wrong
Trapezium Diagram 5

Working:

cm2 Correct Wrong
Trapezium Diagram 6

Working:

m2 Correct Wrong
Trapezium Diagram 7

Working:

cm2 Correct Wrong
Trapezium Diagram 8

Working:

cm2 Correct Wrong
Trapezium Diagram 9

Working:

cm2 Correct Wrong
Trapezium Diagram 10

Working:

mm2 Correct Wrong
Check

This is Area of a Trapezium level 1. You can also try:
Level 2 Areas of other shapes

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.

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?

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

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Polybragging

If you have ever played a card game called Top Trumps you will know the main idea of this game already. Based on the properties of polygons this game for two or more players is a fun way to learn geometric facts.

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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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.

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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!

Mathematical Salad Blog, Cambridge Maths

Wednesday, October 4, 2017

"What is the definition of a trapezium? Is it a shape with exactly one pair of parallel sides or at least one pair of parallel sides? Or maybe even none at all! Different cultures define a trapezium slightly differently and many have the term trapezoid too. In the US (for some) a trapezium is a four sided polygon with no parallel sides; in the UK a trapezium is a four sided polygon with exactly one pair of parallel sides; whereas in Canada a trapezoid has an inclusive definition in that it’s a four sided-polygon with at least one pair of parallel sides - hence parallelograms are special trapezoids.

To read the full blog post go to Cambridge Mathematics."

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Description of Levels

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Level 1 - Find the areas of the trapezia

Level 2 - Apply the trapezium area formula in different ways

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.

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Formula

Formula for the area of a trapezium

The area of a trapezium is half the sum of the parallel sides multiplied by the distance between them.

Example

This video is from Mathscasts.

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

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