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### Number and algebra

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### Advanced mathematics

# Shapes

### Matching Triangles

### Inside Triangles

### Board Block

### Repeating Patterns

### Chairs and Tables

### Let's Investigate Triangles

### Opening Patterns

### Curve Spotting

### Exploded Squares

### Shapely Lines

### Data Shapes

### What's Happening?

### A City of Towers

### Building with Solid Shapes

### Making Shapes

### Skeleton Shapes

### Colouring Triangles

### Building with Cubes

### Chain of Changes

### Shadow Play

### Complete the Square

### Start Cube Drilling

### Happy Halving

### Sorting Logic Blocks

### Poly Plug Rectangles

### Rolling That Cube

### Shaping It

### Triple Cubes

### Four Colours

### Cubes

### Square It

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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

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Age 5 to 7

Challenge Level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Age 5 to 7

Challenge Level

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

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 7

Challenge Level

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.

Age 5 to 7

Challenge Level

Can you spot circles, spirals and other types of curves in these photos?

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 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 5 to 7

Challenge Level

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

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

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

Age 5 to 7

Challenge Level

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

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

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

Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

Age 5 to 7

Challenge Level

Can you split each of the shapes below in half so that the two parts are exactly the same?

Age 5 to 11

Challenge Level

This activity focuses on similarities and differences between shapes.

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 11

Challenge Level

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

Age 5 to 11

Challenge Level

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.

Age 5 to 11

Challenge Level

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Age 5 to 11

Challenge Level

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

Age 7 to 11

Challenge Level

How many faces can you see when you arrange these three cubes in different ways?

Age 11 to 16

Challenge Level

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.