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Open Spaces

In this feature, we have chosen some resources from the Open Spaces pathway on wild.maths.org.

Here are some starting points for mathematical investigation.  What can you discover?

Here's how you can send your 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?