Transum Software

Areas of Composite Shapes

Find the areas of combined shapes made up of one or more simple polygons and circles

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Area Maze Exam-Style Description Help More

This is level 6; Some puzzling composite area questions designed to challenge.

Puzzle1In this red composite shape all lines are either parallel or perpendicular to the other lines. Calculate the area of the shape.

cm² Correct Wrong

Puzzle1This blue shape is made of three quarters of a ring with a triangular arrowhead. Calculate the total area to three significant figures.

cm² Correct Wrong

Puzzle1Three identical green rectangles are arranged to make this symbol. Calculate the total area to two decimal places.

cm² Correct Wrong

Puzzle1Calculate the area of the shaded region to three significant figures. It is bound by two quarter-circle arcs.

cm² Correct Wrong

Puzzle1Eight identical rectangles are arranged into this rectangular composite shape/ Calculate the total area..

cm² Correct Wrong

Puzzle1Find the area of the large green square if the four orange ractangles are congruent (identical).

cm² Correct Wrong

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This is Areas of Composite Shapes level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5
Missing lengths Oblongs Triangles Circles

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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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:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/software/SW/Starter_of_the_day/Students/Areas_of_Composite_Shapes.asp?Level=6

Description of Levels

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Level 1 - A reminder of the area formulas for basic shapes

Level 2 - Using letters to show how the areas of composite shapes are calculated

Level 3 - Composite shapes made up of rectangles

Level 4 - Composite shapes made up of quadrilaterals, triangles and circles

Level 5 - Real life composite area questions from photographs

Level 6 - Some puzzling composite area questions designed to challenge

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

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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Basic Area Formulae

Area Formulae

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.

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