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Open Spaces

In this feature, we have chosen to share some of the problems from the Open Spaces pathway on Wild Maths.

Take a look at Introducing Creativity in the Classroom to find out more about Wild Maths, and for suggestions of NRICH tasks we recommend if you want to promote creativity in your classroom. 

Here's how your learners can send their solutions to these problems.


Circles, Circles link

Circles, Circles 

Stage: 1 and 2 Challenge Level: Challenge Level:1

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Build it Up link

Build it Up 

Stage: 2 Challenge Level: Challenge Level:1

Can you find all the ways to get 15 at the top of this triangle of numbers?

Spirals, Spirals link

Spirals, Spirals 

Stage: 2 Challenge Level: Challenge Level:1

Here are two kinds of spirals for you to explore. What do you notice?

Move Those Halves link

Move Those Halves 

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Roll over the Dice link

Roll over the Dice 

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?