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For younger learners

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Carroll Diagrams

Age 5 to 11
Challenge Level Yellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

Take a look at the interactive below. 

What do you notice?
What do you wonder?

This kind of table is called a Carroll diagram (named after the mathematician and author Lewis Carroll). 

Can you drag the numbers into their correct places?
How do you know where to put them?

If you would prefer to work away from a computer, you could print off this sheet.

How about this Carroll diagram? The interactivity is below, or you could print off this sheet.



You may like to print off this sheet, which is a picture of a completed Carroll diagram, but the labels are missing. Can you give the rows and columns labels by choosing from the list at the side?

If you click on the purple cog of the interactivity, you can change the settings and create your own Carroll diagrams for someone else to complete.

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Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

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Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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