Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Thinking Mathematically - Primary Students

### Exploring and Noticing - Primary Students

### Working Systematically - Lower Primary Students

### Working Systematically - Upper Primary Students

### Saying What You See - Lower Primary Students

### Saying What You See - Upper Primary Students

### What If ... ? - Lower Primary Students

### What If ... ? - Upper Primary Students

### Convince Me! - Lower Primary Students

### Convince Me! - Upper Primary Students

### Practice Makes Perfect - Lower Primary Students

### Practice Makes Perfect - Upper Primary Students

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

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*

Age 5 to 11

What do you notice as you explore these problems?

Age 5 to 7

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.

Age 7 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.

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.

Age 7 to 11

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.

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!

Age 7 to 11

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!

Age 5 to 7

Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!

Age 7 to 11

Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!

Age 5 to 7

These activities make use of things you probably already know and help you to understand them even better for solving problems!

Age 7 to 11

These activities make use of things you probably already know and help you to understand them even better for solving problems!