Year 2 Working systematically

problem

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

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?

problem

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

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?

problem

Inside triangles

Age

5 to 7

Challenge level

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

problem

Half time

Age

5 to 11

Challenge level

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

problem

Unit differences

Age

5 to 7

Challenge level

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

problem

Tables teaser

Age

5 to 7

Challenge level

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

problem

Fruity pairs

Age

5 to 7

Challenge level

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

problem

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?

problem

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?

problem

Number detective

Age

5 to 11

Challenge level

Follow the clues to find the mystery number.

problem

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

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?