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Holy Trinity CE Primary School

Holy Trinity CE Primary School

Learning and caring together, building a firm foundation for the future

Mind Bending Maths Problems for Transition Week

Year 4 have been buidilng their resilience in Transition Week. During Maths this week we tried to solve a problem called 'Leapfrog'.


There were some simple rules - you can slide or jump over into a space. The aim was to make the frogs and toads swop places.

With only one frog and one toad, it took 3 moves to swop them over.

We found that if there were 2 frogs and 2 toads, you needed 8 moves at least.

If there were 4 frogs and 4 toads, you needed 2 moves!

 

Can you find out how many moves to swop over three?

 

If you get stuck (we called this being 'in the pit!') here are some clues:

- never move so that you have two of the same together

- slide before you jump if possible... you need to watch where your gap goes!

You can try it at home - maybe challenge your parents or older siblings.

https://www.transum.org/Software/Investigations/Leapfrog.asp

 

Can YOU master the 5 frogs and 5 toads in 35 moves?

How does it change if there are a different number - eg 3 frogs and 4 toads?

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