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Freedom and Constraints

Mathematicians often explore structures, notice patterns, find rules and make generalisations. Once they feel they understand a structure, they then push at the boundaries, change the problem, and explore the new structures that emerge.

In this feature, we have chosen some resources from the Freedom and Constraints pathway onĀ wild.maths.org.

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

13 Steps link

13 Steps 

Stage: 3 and 4

I wonder if there's a different way to climb 13 steps for each day of the year... Solving this problem might lead you to a famous number sequence.

Measuring with Rods link

Measuring with Rods 

Stage: 3 and 4

How many different lengths is it possible to measure with a set of three rods? Explore this problem, and make some discoveries about number bases.

Cinema Sweets link

Cinema Sweets 

Stage: 3 and 4

Charlie has 3 coins in his pocket that add up to 32p - what could they be? Come and explore this and other exciting questions about the maths of partitioning.

Heavy Pockets link

Heavy Pockets 

Stage: 3 and 4

In a world with just pennies, your purse or pockets would be very heavy. Two-coin systems make life much easier... Which coins would you choose?