Tool TriangleLevel 3

Drag the numbers into the yellow cells so that the totals along each side of the triangle are the same.

3

4

5

6

7

8

This is Tool Triangle level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 Random

There is a printable worksheet to go with this activity.

Worksheet

 

What if there were nine digits to place on the sides of the triangle? See Triside Totals:

 

Instructions

This mathematics puzzle is great starting point for those just starting to learn of the joys this type of activity can provide. When you have completed all six levels you may then want to try something a little more challenging such as:

Go FigureSatisfyNine DigitsSpinsumMagic Square

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?

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"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

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The Transum Newsletter for April 2025 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

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 main page links to more activities designed for students in upper Secondary/High school.

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:

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When planning to use technology in your lesson always have a plan B!

Transum,

Monday, January 6, 2020

"My tip for doing Level 4 and higher levels is to first only consider the units digit, effectively working in mod 10. This makes it easier to find a pattern that works and then it is not too difficult to find the actual solution."

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