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Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

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

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

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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.

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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?

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Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

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How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

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

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

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Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

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An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

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

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

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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?

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The value of the circle changes in each of the following problems. Can you discover its value in each problem?

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

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Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

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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?

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

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Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

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Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

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There are nasty versions of this dice game but we'll start with the nice ones...

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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?

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Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

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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.

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This activity focuses on similarities and differences between shapes.

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My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

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Can you come up with a system for describing where any of these drawers are?

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Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

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Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

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This problem explores the shapes and symmetries in some national flags.

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Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

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What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

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The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

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What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

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This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

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How could you measure the height of your friend without too much difficulty?

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This practical challenge focuses on what you would use to find out your weight.

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These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

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

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

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Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

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Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

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Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

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This problem explores the range of events in a sports day and which ones are the most popular and attract the most entries.