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Open Spaces

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 
Age 5 to 11
Challenge Level Yellow star

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 
Age 7 to 11
Challenge Level Yellow star

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

Spirals, Spirals 
Age 7 to 11
Challenge Level Yellow star

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

Move Those Halves 
Age 7 to 11
Challenge Level Yellow starYellow star

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 
Age 7 to 11
Challenge Level Yellow starYellow star

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?

Related

  • Consecutive Numbers
  • Plants
  • Train Carriages
  • Sweets in a Box
  • 2 Rings
  • Street Sequences
  • Caterpillars
  • Triangle Shapes
  • Tiling
  • Follow the Numbers
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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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