No Partner

Find pairs of numbers that add up to:

89

You can click on the pairs to hide them. When you have clicked on all the pairs the three numbers with no partner will remain.

46, 35, 83, 37, 43, 29, 84, 53, 36, 1, 70, 80, 5, 60, 6, 87, 19, 59, 9, 54, 30.

Most of the numbers in the list above can be added to another number in the list to give a sum of 89 but three numbers do not have a partner. Can you find those three numbers and type them into the boxes below in order of size (smallest first)?

Correct Wrong Correct Wrong Correct Wrong

 

Find pairs of numbers that add up to:

59

If you make a mistake you can click on a hidden number to make it reappear. If you reload this page all of the numbers will change

16, 2, 27, 22, 1, 33, 39, 37, 58, 53, 26, 7, 3, 9, 32, 52, 56, 6, 57, 5, 50.

Most of the numbers in the list above can be added to another number in the list to give a sum of 59 but three numbers do not have a partner. Can you find those three numbers and type them into the boxes below in order of size (smallest first)?

Correct Wrong Correct Wrong Correct Wrong

 

Find pairs of numbers that add up to:

74

Are there any quick ways of spotting the pairs? Could you start by just looking at the units digit of each of the numbers?

18, 70, 13, 32, 67, 56, 4, 46, 26, 61, 42, 7, 28, 44, 47, 27, 68, 19, 55, 21, 30.

Most of the numbers in the list above can be added to another number in the list to give a sum of 74 but three numbers do not have a partner. Can you find those three numbers and type them into the boxes below in order of size (smallest first)?

Correct Wrong Correct Wrong Correct Wrong

 

Find pairs of numbers that add up to:

60

You can feel pleased with yourself for completing this online exercise. Claim your Transum Trophy after checking your answers.

32, 50, 44, 3, 37, 7, 41, 9, 16, 17, 57, 22, 29, 31, 5, 53, 28, 38, 55, 23, 19.

Most of the numbers in the list above can be added to another number in the list to give a sum of 60 but three numbers do not have a partner. Can you find those three numbers and type them into the boxes below in order of size (smallest first)?

Correct Wrong Correct Wrong Correct Wrong

 

 

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.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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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 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

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This spectacular magic trick never fails to amaze people of all ages assuming they can add and subtract very simple numbers. The mathematics comes in finding out how the trick works.

Answers

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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:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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