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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Properties of Shapes KS1

### Let's Investigate Triangles

### Three Squares

### Colouring Triangles

### Chain of Changes

### Cubes Cut Into Four Pieces

### Building with Solid Shapes

### Skeleton Shapes

### Shadow Play

### Complete the Square

### Matching Triangles

### Inside Triangles

### Overlaps

### Jig Shapes

### Exploded Squares

### Shapely Lines

### Poly Plug Rectangles

### Data Shapes

### What's Happening?

### Exploring 2D Shapes

### Making Footprints

### Making a Picture

### Building Towers

### Shapes in the Bag

### Paper Patchwork 1

### Paper Patchwork 2

### Paper Partners

### Always, Sometimes or Never? KS1

### Triangle or No Triangle?

Y*ou may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.*

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

Age 5 to 7

Challenge Level

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?

Age 5 to 11

Challenge Level

What is the greatest number of squares you can make by overlapping three squares?

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

Here are shadows of some 3D shapes. What shapes could have made them?

Age 5 to 7

Challenge Level

Complete the squares - but be warned some are trickier than they look!

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Age 5 to 7

Challenge Level

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.

Age 5 to 11

Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Age 5 to 7

Challenge Level

This practical activity challenges you to create symmetrical designs by cutting a square into strips.

Age 5 to 7

Challenge Level

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?

Age 5 to 11

Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

Shapes are added to other shapes. Can you see what is happening? What is the rule?

Age 3 to 5

In this task, children will make shapes out of loops of string and discuss what they notice about their shapes.

Age 3 to 5

In this activity, children will develop an awareness of the faces of 3D shapes by using them to make 'footprints' in soft dough.

Age 3 to 5

This task provides an opportunity for children to work together to make a picture, discussing with each other which position they want to put each shape in.

Age 3 to 5

In this task, children will explore 3D shapes when selecting which shapes to use in their tower.

Age 3 to 5

In this task, children put their hands into a bag and describe what shape they think they can feel and why.

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Age 5 to 7

Challenge Level

Here is a selection of different shapes. Can you work out which ones are triangles, and why?

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