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Weekly Challenges Are Here!
Weekly challenges are here for NRICH! To celebrate this event,
we've collected a set of 20 essential problems for you to try.
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Sums of Powers - a Festive Story
A story for students about adding powers of integers - with a festive twist.
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Difficulties with Division
This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.
project
Make Your Own Pencil Case
11 to 14
What shape would fit your pens and pencils best? How can you make it?
problem
Favourite
Mixed-up SOCKS
5 to 7
Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?
problem
Favourite
Colouring Triangles
5 to 7
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
problem
Favourite
The Puzzling Sweet Shop
5 to 11
There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?
problem
Favourite
Cubes Within Cubes
7 to 14
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
problem
Bipin's Choice
7 to 11
Bipin is in a game show and he has picked a red ball out of 10
balls. He wins a large sum of money, but can you use the
information to decided what he should do next?
problem
Favourite
Halving
5 to 7
These pictures show squares split into halves. Can you find other ways?