# Resources tagged with: Practical Activity

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There are 60 NRICH Mathematical resources connected to Practical Activity, you may find related items under Thinking Mathematically.

Broad Topics > Thinking Mathematically > Practical Activity

### Attractive Rotations

##### Age 11 to 14Challenge Level

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

### Tower of Hanoi

##### Age 11 to 14Challenge Level

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

### Factors and Multiples Game

##### Age 7 to 16Challenge Level

A game in which players take it in turns to choose a number. Can you block your opponent?

### Fractions Jigsaw

##### Age 11 to 14Challenge Level

A jigsaw where pieces only go together if the fractions are equivalent.

### Cunning Card Trick

##### Age 11 to 14Challenge Level

Delight your friends with this cunning trick! Can you explain how it works?

### Factors and Multiples Puzzle

##### Age 11 to 14Challenge Level

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

### Amazing Card Trick

##### Age 11 to 14Challenge Level

How is it possible to predict the card?

### Triangles to Tetrahedra

##### Age 11 to 14Challenge Level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

### Nine Colours

##### Age 11 to 16Challenge Level

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

### Factors and Multiples Game for Two

##### Age 7 to 14Challenge Level

Factors and Multiples game for an adult and child. How can you make sure you win this game?

### Cool as Ice

##### Age 11 to 16Challenge Level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

### Straw Scaffold

##### Age 11 to 14Challenge Level

Build a scaffold out of drinking-straws to support a cup of water

### Gym Bag

##### Age 11 to 16Challenge Level

Can Jo make a gym bag for her trainers from the piece of fabric she has?

### Witch's Hat

##### Age 11 to 16Challenge Level

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

### Make Your Own Pencil Case

##### Age 11 to 14Challenge Level

What shape would fit your pens and pencils best? How can you make it?

##### Age 7 to 14Challenge Level

What shape and size of drinks mat is best for flipping and catching?

### Constructing Triangles

##### Age 11 to 14Challenge Level

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

### Observing the Sun and the Moon

##### Age 7 to 14Challenge Level

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

### Which Solids Can We Make?

##### Age 11 to 14Challenge Level

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

### Sociable Cards

##### Age 11 to 14Challenge Level

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

### Turning the Place Over

##### Age 11 to 18Challenge Level

As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?

### Drawing Celtic Knots

##### Age 11 to 14Challenge Level

Here is a chance to create some Celtic knots and explore the mathematics behind them.

### Modular Origami Polyhedra

##### Age 7 to 16Challenge Level

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

### Tangram Pictures

##### Age 5 to 14Challenge Level

Use the tangram pieces to make our pictures, or to design some of your own!

### Well Balanced

##### Age 5 to 18Challenge Level

Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.

### Notes on a Triangle

##### Age 11 to 14Challenge Level

Can you describe what happens in this film?

### Celtic Knotwork Patterns

##### Age 7 to 14

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.

### Paper Folding - Models of the Platonic Solids

##### Age 11 to 16

A description of how to make the five Platonic solids out of paper.

### Making Maths: Walking Through a Playing Card?

##### Age 7 to 14Challenge Level

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?

### Making Maths: Clinometer

##### Age 11 to 14Challenge Level

You can use a clinometer to measure the height of tall things that you can't possibly reach to the top of, Make a clinometer and use it to help you estimate the heights of tall objects.

### Making Maths: Make a Pendulum

##### Age 7 to 14Challenge Level

Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?

### Making Maths: Archimedes' Spiral

##### Age 7 to 14Challenge Level

Make a spiral mobile.

### Making Maths: Snake Pits

##### Age 5 to 14Challenge Level

A game to make and play based on the number line.

### Making Maths: Equilateral Triangle Folding

##### Age 7 to 14Challenge Level

Make an equilateral triangle by folding paper and use it to make patterns of your own.

### Making Maths: Celtic Knot Tiles

##### Age 7 to 16Challenge Level

Make some celtic knot patterns using tiling techniques

### Making Maths: String and Circles

##### Age 7 to 14Challenge Level

You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.

### Making Maths: Double-sided Magic Square

##### Age 7 to 14Challenge Level

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

### Sea Defences

##### Age 7 to 14Challenge Level

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

### Back to the Practical?

##### Age 7 to 14

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

##### Age 11 to 18

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

### First Forward Into Logo 12: Puzzling Sums

##### Age 11 to 18Challenge Level

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

### First Forward Into Logo 11: Sequences

##### Age 11 to 18Challenge Level

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

### First Forward Into Logo 8: More about Variables

##### Age 11 to 18Challenge Level

Write a Logo program, putting in variables, and see the effect when you change the variables.

### First Forward Into Logo 5: Pen Up, Pen Down

##### Age 7 to 16Challenge Level

Learn about Pen Up and Pen Down in Logo

### First Forward Into Logo 9: Stars

##### Age 11 to 18Challenge Level

Turn through bigger angles and draw stars with Logo.

### First Forward Into Logo 7: Angles of Polygons

##### Age 11 to 18Challenge Level

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

### First Forward Into Logo 6: Variables and Procedures

##### Age 11 to 18Challenge Level

Learn to write procedures and build them into Logo programs. Learn to use variables.

### First Forward Into Logo 4: Circles

##### Age 7 to 16Challenge Level

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?