Year 2 Explaining, convincing and proving

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?

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

Shapes are added to other shapes. Can you see what is happening? What is the rule?

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

How could you estimate the number of pencils/pens in these pictures?

You'll need a collection of cups for this activity.

Order these four calculations from easiest to hardest. How did you decide?

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

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

How many legs do each of these creatures have? How many pairs is that?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

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?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Can you place these quantities in order from smallest to largest?

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

In these addition games, you'll need to think strategically to get closest to the target.

Are these statements relating to odd and even numbers always true, sometimes true or never true?

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?

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?

This problem looks at how one example of your choice can show something about the general structure of multiplication.