

Arranging additions and sorting subtractions
Order these four calculations from easiest to hardest. How did you decide?

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

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

Matching triangles
Can you sort these triangles into three different families and explain how you did it?

Tug of war
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

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

Even and odd
This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

How many?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

En-counters
This task requires learners to explain and help others, asking and answering questions.


Shapely lines
This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

Let's investigate triangles
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?

Ip dip
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

The add and take-away path
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?



What is the time?
Can you put these times on the clocks in order? You might like to arrange them in a circle.


Poly plug pattern
Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Data shapes
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

Building with solid shapes
We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

Sticky data
You'll need to work in a group on this problem. Use your sticky notes to show the answer to questions such as 'how many girls are there in your group?'.


That number square
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Matching time
Try this matching game which will help you recognise different ways of saying the same time interval.

What's in a name?
What do you notice about these squares of numbers? What is the same? What is different?


Double or halve?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

Break it up!
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?

Paper patchwork 1
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Paper patchwork 2
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

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

Paper partners
Can you describe a piece of paper clearly enough for your partner to know which piece it is?

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

Carroll diagrams
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

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

Birthday sharing
It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?


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

Clapping times
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

How many?
Have a look at these photos of different fruit. How many do you see? How did you count?

Secret number
Annie and Ben are playing a game with a calculator. What was Annie's secret number?


Colouring triangles
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Chain of changes
In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

The puzzling sweet shop
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?

Jumping squares
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.

Missing middles
Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

Birthday cakes
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?

Skeleton shapes
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Hundred square
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

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

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

Cubes cut into four pieces
Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?

More numbers in the ring
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?
