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#### Resources tagged with Practical Activity similar to Factors and Multiples Puzzle:

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Broad Topics > Using, Applying and Reasoning about Mathematics > Practical Activity

### Factors and Multiples Puzzle

##### Stage: 3 Challenge Level:

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

### Factors and Multiples Game

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

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

### Tower of Hanoi

##### Stage: 3 Challenge Level:

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

### Triangles to Tetrahedra

##### Stage: 3 Challenge Level:

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

### Which Solids Can We Make?

##### Stage: 3 Challenge 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?

### Back to the Practical?

##### Stage: 2 and 3

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. . . .

### Nine Colours

##### Stage: 3 Challenge 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?

### Sociable Cards

##### Stage: 3 Challenge Level:

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

### Making Maths: Equilateral Triangle Folding

##### Stage: 2 and 3 Challenge Level:

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

### Making Maths: Clinometer

##### Stage: 3 Challenge Level:

Make a clinometer and use it to help you estimate the heights of tall objects.

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

##### Stage: 2 and 3 Challenge 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: String and Circles

##### Stage: 2 and 3 Challenge 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: Make a Pendulum

##### Stage: 2 and 3 Challenge 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?

### Drawing Celtic Knots

##### Stage: 3 Challenge Level:

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

### Making Maths: Archimedes' Spiral

##### Stage: 2 and 3 Challenge Level:

Make a spiral mobile.

### Constructing Triangles

##### Stage: 3 Challenge Level:

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

### Gym Bag

##### Stage: 3 and 4 Challenge Level:

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

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

##### Stage: 3, 4 and 5 Challenge Level:

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

### First Forward Into Logo 4: Circles

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

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

### Straw Scaffold

##### Stage: 3 Challenge Level:

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

### First Forward Into Logo 11: Sequences

##### Stage: 3, 4 and 5 Challenge 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 5: Pen Up, Pen Down

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

Learn about Pen Up and Pen Down in Logo

### First Forward Into Logo 9: Stars

##### Stage: 3, 4 and 5 Challenge Level:

Turn through bigger angles and draw stars with Logo.

### First Forward Into Logo 3: Repeat REPEAT

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

More Logo for beginners. Now learn more about the REPEAT command.

### Making Rectangles, Making Squares

##### Stage: 3 Challenge Level:

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

### Cool as Ice

##### Stage: 3 and 4 Challenge Level:

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

### Well Balanced

##### Stage: 1, 2, 3, 4 and 5 Challenge 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.

### Flip Your Mat!

##### Stage: 2 and 3 Challenge Level:

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

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

##### Stage: 3, 4 and 5 Challenge Level:

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

### Observing the Sun and the Moon

##### Stage: 2 and 3 Challenge 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.

### Turning the Place Over

##### Stage: 3, 4 and 5 Challenge 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?

### Plaited Origami Polyhedra

##### Stage: 2, 3 and 4 Challenge 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

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

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

### Witch's Hat

##### Stage: 3 and 4 Challenge 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

##### Stage: 3 Challenge Level:

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

### Attractive Rotations

##### Stage: 3 Challenge 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...

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

##### Stage: 3, 4 and 5 Challenge Level:

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

### You Owe Me Five Farthings, Say the Bells of St Martin's

##### Stage: 3 Challenge Level:

Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?

### More Marbles

##### Stage: 3 Challenge Level:

I start with a red, a blue, a green and a yellow marble. I can trade any of my marbles for three others, one of each colour. Can I end up with exactly two marbles of each colour?

### Cubic Conundrum

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

Which of the following cubes can be made from these nets?

### Getting an Angle

##### Stage: 3 Challenge Level:

How can you make an angle of 60 degrees by folding a sheet of paper twice?

### Creating Cubes

##### Stage: 2 and 3 Challenge Level:

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

### Fractions Jigsaw

##### Stage: 3 Challenge Level:

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

### Cunning Card Trick

##### Stage: 3 Challenge Level:

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

### When Will You Pay Me? Say the Bells of Old Bailey

##### Stage: 3 Challenge Level:

Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?

### Plaiting and Braiding

##### Stage: 2 and 3

This article for students gives some instructions about how to make some different braids.

### Notes on a Triangle

##### Stage: 3 Challenge Level:

Can you describe what happens in this film?

### First Forward Into Logo 2: Polygons

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

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

### Whirling Fibonacci Squares

##### Stage: 3 and 4

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

### Making Maths: Snake Pits

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

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