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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?
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?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
How will you work out which numbers have been used to create this multiplication square?
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
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?
Can you sort these triangles into three different families and explain how you did it?
Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
Try this version of Snap with a friend - do you know the order of the days of the week?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?
Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.
Can you spot the mistake in this video? How would you work out the answer to this calculation?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
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?
This task requires learners to explain and help others, asking and answering questions.
What do you notice about these squares of numbers? What is the same? What is different?
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 do you see as you watch this video? Can you create a similar video for the number 12?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Order these four calculations from easiest to hardest. How did you decide?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
Try this matching game which will help you recognise different ways of saying the same time interval.
Make one big triangle so the numbers that touch on the small triangles add to 10.
Can you lay out the pictures of the drinks in the way described by the clue cards?
Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?
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?'.
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?
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
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?
These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
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.
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
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.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
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?
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?
Here are some short problems for you to try. Talk to your friends about how you work them out.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Can you put these times on the clocks in order? You might like to arrange them in a circle.
A task which depends on members of the group noticing the needs of others and responding.
This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?
"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 ...?
This problem is designed to help children to learn, and to use, the two and three times tables.
Try out this number trick. What happens with different starting numbers? What do you notice?
Have a look at these photos of different fruit. How many do you see? How did you count?
What could the half time scores have been in these Olympic hockey matches?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
Can you each work out what shape you have part of on your card? What will the rest of it look like?
Can you place these quantities in order from smallest to largest?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
A task which depends on members of the group noticing the needs of others and responding.
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
Ben has five coins in his pocket. How much money might he have?
Use these four dominoes to make a square that has the same number of dots on each side.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
Can you use the information to find out which cards I have used?
These clocks have been reflected in a mirror. What times do they say?
Can you match these calculation methods to their visual representations?
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Use the information on these cards to draw the shape that is being described.
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.
This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
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?
Can you put these four calculations into order of difficulty? How did you decide?
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?
Are these statements always true, sometimes true or never true?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.