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The Deca Tree

Stage: 2 Challenge Level: Challenge Level:1

In the forest there is a Deca Tree.
A Deca Tree has $10$ trunks,

tree with 10 trunks

and on each trunk there are $10$ branches,

trunk with 10 branches

and on each branch there are $10$ twigs,

branch with 10 twigs

and on each twig there are $10$ leaves:

twig with 10 leaves

One day a woodcutter came along and cut down one trunk from the tree.
Then he cut off one branch from another trunk of the tree.
Then he cut off one twig from another branch.
Finally he pulled one leaf from another twig.

How many leaves were left on the tree then?

Click here for a poster of this problem.


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.