These activities focus on finding all solutions. Working in a systematic way will ensure no possibilities are left out.

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### Robot Monsters

Use these head, body and leg pieces to make Robot Monsters which are different heights.

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### Same Length Trains

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

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### Button-Up

My coat has three buttons. How many ways can you find to do up all the buttons?

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### Three Ball Line Up

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

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### 6 Beads

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

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### A City of Towers

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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### Ladybirds in the Garden

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

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### Triangle Animals

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

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### Inside Triangles

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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### Beads and bags

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?