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Lawn Border

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?

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Cutting it Out

I cut this square into two different shapes. What can you say about the relationship between them?

Sizing Them Up

Stage: 1 Challenge Level: Challenge Level:1

Arrange these shapes in order of size. Put the smallest first.

seven irregular shapes
You might like to use this interactivity to try out your ideas:

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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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.