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  • Early Years Foundation Stage

Diagonal Trace

Age 7 to 11
Challenge Level Yellow starYellow star
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

Why do this problem?

This challenge is accessible to all pupils - everyone can have a go - but explaining why it is impossible with certain shapes is more difficult. It is a good context in which to encourage pupils to make conjectures and to verify them.

Key questions

Do you have a system fortrying to trace over the diagonals?
What do the shapes that work have in common?
Which other shapes do you think it will work for?

Possible extension

The problem Networks and Nodes would be a good follow-up challenge to this one.

Possible support

This sheet , with six of each shape and their diagonals drawn, will be useful to print off for some pupils.


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Sets of Numbers

How many different sets of numbers with at least four members can you find in the numbers in this box?

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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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