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?

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?

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? What would it cost?

What numbers can you make by putting beads onto this tens and ones abacus?

Jack's mum used the same candles on his and his sister Kate's birthday cakes. When was Kate born?

On a farm there were some animals with 8 heads and 22 feet altogether. How many hens were there?

There are ladybirds with 7 spots or 4 spots in this garden. What numbers of total spots can you make?

There are three baskets holding a total of 10 eggs. How many eggs are in each basket?

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?

Tim had nine cards. How could he have put them into three piles so that the total in each pile was 15?

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?

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

What could each of the children buy in the sweet shop?

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

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