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Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

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Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

Sandwiches

Stage: 2, 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

You may wish to print off two sets of digit cards to cut out and play with.

Ali has been playing with digit cards.

 

This arrangement has a gap of 1 between the "1" cards, a gap of 2 between the "2" cards, but not a gap of 3 between the "3" cards.

I wonder if it's possible to have a gap of 1 between the "1" cards, a gap of 2 between the "2" cards, and a gap of 3 between the "3" cards?

I wonder if it's possible with just 1s and 2s?

What if you include two 4s, and between the two 4s there are four digits?

Are you curious to take it further?
Ali found a solution using 5s, 6s and 7s too! Can you find one?

Click below to see Ali's solution. Is yours the same?

I wonder how many solutions there are...



Click to reveal an extension challenge:

Is there a solution with the digits 1,1,2,2,3,3,4,4,5,5?
What about 1,1,2,2,3,3,4,4,5,5,6,6?
Can you prove it?




Printable NRICH Roadshow resource.