
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?


Rolling that cube

Describe the drawers

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

Overlaps
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.

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

A puzzling cube
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?

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

Building blocks

Tiles in a public building

What shape?
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.


Egyptian rope
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?

Overlapping again
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.

Doing and undoing


Buzzy bee
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?

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

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

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

I like ...

Our numbers
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?

Beads and bags

Largest even


Jumping squares

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

Lots of lollies
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?


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

Sweets in a box
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?

Highest and lowest

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

Number tracks

What do you need?

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

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

Worms

A numbered route


Class 5's names
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?

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

Shaping it

What is the time?

Measure our heights

Measure our weights


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