Arithmagons

26

36

32

The numbers at the circles add up to the numbers
in the rectangles between them.

What number does each question mark represent?

A Mathematics Lesson Starter Of The Day

Teacher:
Scroll down the
page to find the
link to the interactive, self-checking Arithmagons.

Starter of The Day Transum Mathematics Topics


Topics: Starter | Algebra | Arithmetic | Puzzles

  • Transum,
  •  
  • Don't miss the online arithmagons exercise for pupils containing 48 different levels of difficulty. Trophies are available for completing eight arithmagons at each level. The first level is very easy, maybe too easy, requiring you to fill in the rectangles given the three numbers in the circles at the vertices of the triangle. You can find this exercise at Transum.org/go/?to=Arithmagons and look for the 'More Levels' button that allows you to select the level of difficulty.
  • John B, Sydney, Australia
  •  
  • My class loved this activity. We would like to see something like this again.
  • Senan, Barnes Primary
  •  
  • I really enjoyed this problem!!
  • 4 Jones, Scotch Oakburn College
  •  
  • This was really fun and quite challenging and it helped us with our problem solving.
  • Jenny Howard, Via Twitter
  •  
  • J Li, New Zealand
  •  
  • Could it be printed out?

    [Transum: There is a link to the printable version of this activity lower down this page available for subscribers]

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

Previous Day | This starter is for 20 August | Next Day

 

Answers

The numbers at the vertices are 11, 15 and 21.

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

Transum.org/go/?Start=August20

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a student version of this activity with many different levels of difficulty.

Transum.org/go/?to=Arithmagons

Student Activity

If your pupils do not have access to computers there is a printable set of Arithmagon worksheets here:

Arithmagon Worksheets

 

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