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Circle Theorems Exercise

Show that you understand and can apply the circle theorems with this self marking exercise.

Level 1 Level 2 Level 3 Exam-Style Description Help More Angles

This is level 2: multi-step problems requiring one or more of the angle theorems. O is the centre of the circle. You can earn a trophy if you get at least 7 questions correct and you do this activity online.

Circle Diagram 1

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Circle Diagram 2

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Circle Diagram 3

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Circle Diagram 4

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Circle Diagram 5

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Circle Diagram 6

° Correct Wrong

Circle Diagram 7

° Correct Wrong

Circle Diagram 8

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Circle Diagram 9

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Check

This is Circle Theorems Exercise level 2. You can also try:
Level 1 Level 3 Angle Chase Exam-style

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 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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Answers

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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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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.

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Scan the QR code below to visit the online version of this activity.

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https://www.Transum.org/go/?Num=437

Description of Levels

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Level 1 - Angles which can be found using one of the angle theorems

Level 2 - Multi-step problems requiring one or more of the angle theorems

Level 3 - Randomised questions, some requiring finding more than one angle in a diagram

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

Angle Chase level 4 contains a circle in a diagram of many lines from which you have to find the missing angles.

More on this topic 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.

Example

You may also want to use a calculator to check your working. See Calculator Workout skill ##.

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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