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There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

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Number Squares

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

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I'm Eight

Find a great variety of ways of asking questions which make 8.

Heads and Feet

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Why do this problem?

This is an easily presented problem that requires a bit of thinking as it's not necessarily obvious to pupils what needs to be done to obtain an answer. It demonstrates the power of trial and improvement, combined with a systematic approach and you could also use children's work to focus on different ways of representing a solution.

Key questions

How are you trying to find out the answer?
How many legs would there be if there were eight hens? Eight sheep?

Possible extension

The problem Noah would be a good one to try after this, or you could ask pupils to invent other problems in the same style.

Possible support

For some pupils a few models to represent the animals may be helpful, for example counters for the heads and lolly sticks for legs.