Year 2 Working systematically

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?

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?

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

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

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

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

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

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

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?

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?

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

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?

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

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

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.

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?

Complete the squares - but be warned some are trickier than they look!

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Follow the clues to find the mystery number.

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?

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

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

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

There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?

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