Being collaborative - Primary number

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

Find the next two dominoes in these sequences.

Use these head, body and leg pieces to make Robot Monsters which are different heights.

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 trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Here are some short problems for you to try. Talk to your friends about how you work them out.

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?

Can you complete this jigsaw of the 100 square?

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

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

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

An old game with lots of arithmetic!

Can you work as a group to match these numbers?

A task which depends on members of the group noticing the needs of others and responding.

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?

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

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

"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 ...?

Make one big triangle so the numbers that touch on the small triangles add to 10.

This activity focuses on rounding to the nearest 10.

Find a great variety of ways of asking questions which make 8.

This problem is designed to help children to learn, and to use, the two and three times tables.

What do you notice about these squares of numbers? What is the same? What is different?

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

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

What do you see as you watch this video? Can you create a similar video for the number 12?

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

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?

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

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

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Which comes next in each pattern of dominoes?

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

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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

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.

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?

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

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?

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

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?

Use these four dominoes to make a square that has the same number of dots on each side.

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

Can you use the information to find out which cards I have used?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Choose a symbol to put into the number sentence.

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

Can you find different ways of showing the same fraction? Try this matching game and see.

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

Watch this animation. What do you see? Can you explain why this happens?

This activity involves rounding four-digit numbers to the nearest thousand.

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

What happens when you round these three-digit numbers to the nearest 100?

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Find as many different ways of representing this number of dots as you can.

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Are these statements always true, sometimes true or never true?

Use your knowledge of place value to try to win this game. How will you maximise your score?

Can you match these calculation methods to their visual representations?

Can you put these four calculations into order of difficulty? How did you decide?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Can you replace the letters with numbers? Is there only one solution in each case?

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Take three consecutive numbers and add them together. What do you notice?

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

This task combines spatial awareness with addition and multiplication.

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Can you go through this maze so that the numbers you pass add to exactly 100?

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.