Year 2 Working systematically

problem

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Let's Investigate Triangles

Age

5 to 7

Challenge level

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

Age

5 to 7

Challenge level

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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Number Detective

Age

5 to 11

Challenge level

Follow the clues to find the mystery number.

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Break it up!

Age

5 to 11

Challenge level

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?

problem

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Cuisenaire Counting

Age

5 to 7

Challenge level

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?

Age

5 to 7

Challenge level

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

problem

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Growing Garlic

Age

5 to 11

Challenge level

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

Age

5 to 7

Challenge level

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

Age

5 to 11

Challenge level

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

problem

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Unit Differences

Age

5 to 7

Challenge level

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

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Tables Teaser

Age

5 to 7

Challenge level

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

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Five Coins

Age

5 to 11

Challenge level

Ben has five coins in his pocket. How much money might he have?

problem

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6 Beads

Age

5 to 7

Challenge level

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?

problem

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Chain of Changes

Age

5 to 7

Challenge level

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?

problem

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The Puzzling Sweet Shop

Age

5 to 11

Challenge level

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?

problem

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Birthday Cakes

Age

5 to 7

Challenge level

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?