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Be a mathematician!

Successful mathematicians understand and use mathematical ideas and methods, solve problems, explain and justify their thinking, and have a positive attitude towards learning mathematics. 

Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, convincing, proving... are all at the heart of mathematical thinking. The activities below are designed to give you the opportunity to think and work as a mathematician.

For problems arranged by mathematical topics, see our Topics in Primary Mathematics page

For problems arranged by mathematical mindsets, see our Mathematical Mindsets page

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.
Saying what you see - Lower Primary
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Saying what you see - Lower Primary Students

Age
5 to 7
You and your friends are probably quite good at imagining things and seeing things in lots of different ways. Here you'll put that to use in doing some maths challenges.
What can you find out? - Lower Primary
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What can you find out? - Lower Primary

Age
5 to 7
Have a go at exploring as you look at these challenges, maybe with others. Talk about how it is going and if a slip-up occurs, then find a way out!
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!
What's your plan? - Lower Primary
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What's your plan? - Lower Primary

Age
5 to 7
Sometimes it's not easy to know how to start a problem. Try talking to a friend about how to start, and what sort of plan you'll have to carry on.