Transum Software

Areas of Composite Shapes

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

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Area Maze Exam 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

Check

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.

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 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

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..."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Practice Papers

Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

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.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

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!

Transum.org is a proud supporter of the kidSAFE Seal Program

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=367

Description of Levels

Close

Close

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

Area Maze - You will love these puzzles which challenge you to find the measurement missing from composite shapes.

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.

Log in Sign up

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.

Log in Sign up

Close

Close