Shapes

Chairs and Tables

Stage: 1 Challenge Level: Challenge Level:1

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

Poly Plug Rectangles

Stage: 1 Challenge Level: Challenge Level:1

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?

Exploded Squares

Stage: 1 Challenge Level: Challenge Level:1

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

Let's Investigate Triangles

Stage: 1 Challenge Level: Challenge Level:1

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?

Data Shapes

Stage: 1 Challenge Level: Challenge Level:1

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?

Shapely Lines

Stage: 1 Challenge Level: Challenge Level:1

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?

Matching Triangles

Stage: 1 Challenge Level: Challenge Level:1

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

What's Happening?

Stage: 1 Challenge Level: Challenge Level:1

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

Opening Patterns

Stage: 1 Challenge Level: Challenge Level:1

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

Curve Spotting

Stage: 1 Challenge Level: Challenge Level:1

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

Board Block

Stage: 1 Challenge Level: Challenge Level:1

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

Building with Solid Shapes

Stage: 1 Challenge Level: Challenge Level:1

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?

Repeating Patterns

Stage: 1 Challenge Level: Challenge Level:1

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

Skeleton Shapes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

Colouring Triangles

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

A City of Towers

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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?

Building with Cubes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

Making Shapes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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?

Chain of Changes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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?

Complete the Square

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

Shadow Play

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

Inside Triangles

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

Happy Halving

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

Start Cube Drilling

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

Cubes

Stage: 1 and 2 Challenge Level: Challenge Level:1

Investigate the number of faces you can see when you arrange three cubes in different ways.

Triple Cubes

Stage: 1 and 2 Challenge Level: Challenge Level:1

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

Sorting Logic Blocks

Stage: 1 and 2 Challenge Level: Challenge Level:1

This interactivity allows you to sort logic blocks by dragging their images.

Rolling That Cube

Stage: 1 and 2 Challenge Level: Challenge Level:1

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

Shaping It

Stage: 1 and 2 Challenge Level: Challenge Level:1

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.

Four Colours

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

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.

Square It

Stage: 1, 2, 3 and 4 Challenge Level: Challenge Level:1

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.