21
31
28
The numbers at the circles add up to the numbers
in the rectangles between them.
What number does each question mark represent?
Teacher:
Scroll down the
page to find the
link to the interactive, selfchecking Arithmagons.
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Topics: Starter  Algebra  Arithmetic  Puzzles
Arithmagons starter from Transum. pic.twitter.com/4og2Nz6EI9
— Jenny Howard (@J3nnyHoward) March 16, 2016
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The numbers at the vertices are 9, 12 and 19.
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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Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Transum.org/go/?Start=August20
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
If your pupils do not have access to computers there is a printable set of Arithmagon worksheets here: