Transum Software

Three Prime Sum

A self-marking challenge to write each of the given numbers as the sum of three prime numbers.

Level 1 Level 2 Level 3 Level 4 Level 5 Description Help More...

For each challenge below type three prime numbers into the spaces that add up to the target number. The three primes do not necessarily all need to be different. You will be awarded a trophy if you get at least 7 correct and you do this activity online.

89

= + + Correct Wrong

90

= + + Correct Wrong

95

= + + Correct Wrong

97

= + + Correct Wrong

100

= + + Correct Wrong

104

= + + Correct Wrong

106

= + + Correct Wrong

109

= + + Correct Wrong

111

= + + Correct Wrong

Check

This is Three Prime Sum level 4. You can also try:
Level 1 Level 2 Level 3 Level 5

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 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:

"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this 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:

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.

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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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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=808

Description of Levels

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Level 1 - Find three prime numbers that add up to totals between 6 and 32

Level 2 - Find three prime numbers that add up to totals between 33 and 59

Level 3 - Find three prime numbers that add up to totals between 60 and 86

Level 4 - Find three prime numbers that add up to totals between 87 and 113

Level 5 - Find three prime numbers that add up to totals between 114 and 140

This exercise is based on the Goldbach Conjecture - every integer greater than 5 can be written as the sum of three prime numbers, such as 25 = 11 + 7 + 7

More 'Number' activities 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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Help

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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Curriculum Reference

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