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The National Young Mathematicians' Award

Have you heard of the National Young Mathematicians' Award (NYMA)?  If not, you can find out more here.

Bernard, one of the members of the NRICH team, creates the brain-stretching activities used in the NYMA.  In this feature, we have gathered together some tasks which will help you 'limber up' for the main NYMA tasks.  Have a go at these tricky challenges and see how you get on ...

Inside Triangles
problem
Favourite

Inside Triangles

Age
5 to 7
Challenge level
filled star empty star empty star
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Lots of Lollies
problem
Favourite

Lots of Lollies

Age
5 to 7
Challenge level
filled star filled star filled star

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Start Cube Drilling
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Start Cube Drilling

Age
5 to 7
Challenge level
filled star filled star filled star
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?
Odd times Even
problem
Favourite

Odd times Even

Age
5 to 7
Challenge level
filled star filled star filled star
This problem looks at how one example of your choice can show something about the general structure of multiplication.
What if ... ? - Lower Primary
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What if ... ? - Lower Primary Students

Age
5 to 7
Here are some exciting activities for you - have a go at them and then see what happens if you change one of the little questions. You may be able to change it more than just once!
Working Systematically - Lower Primary
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Working Systematically - Primary Students

Age
5 to 11
Mathematicians try to work systematically so they can see how they worked something out, and see patterns which messy work might not reveal. Here's a selection of tasks where having good ways to sort and organise can be very helpful.