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### Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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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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### Break it up!

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

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### Cuisenaire Counting

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

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### Are you well Balanced?

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

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### Growing Garlic

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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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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### Half Time

What could the half time scores have been in these Olympic hockey matches?

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### Unit Differences

This challenge is about finding the difference between numbers which have the same tens digit.

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### Tables Teaser

How will you work out which numbers have been used to create this multiplication square?

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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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### Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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### The Puzzling Sweet Shop

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

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### Birthday Cakes

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

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### Heads and Feet

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

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### Eggs in Baskets

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

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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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### 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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### Jumping squares

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

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### School fair necklaces

How many possible symmetrical necklaces can you find? How do you know you've found them all?

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### Lots of Lollies

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?