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.

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This is level 1: Find the areas of the trapezia. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online. The diagrams are not drawn to scale.

1

Trapezium Diagram 1

cm2

2

Trapezium Diagram 2

cm2

3

Trapezium Diagram 3

cm2

4

Trapezium Diagram 4

mm2

5

Trapezium Diagram 5

cm2

6

Trapezium Diagram 6

m2

7

Trapezium Diagram 7

cm2

8

Trapezium Diagram 8

cm2

9

Trapezium Diagram 9

cm2

10

Trapezium Diagram 10

mm2

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.

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Jugs

Jugs

The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

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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

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

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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Curriculum Reference

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

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

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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