# Resources tagged with: Practical Activity

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### There are 153 results

Broad Topics > Thinking Mathematically > Practical Activity

### 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.

### 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?

### Cunning Card Trick

##### Age 11 to 14Challenge Level

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

### Seven Flipped

##### Age 7 to 11Challenge Level

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

### Making Maths: Happy Families

##### Age 5 to 11Challenge Level

Here is a version of the game 'Happy Families' for you to make and play.

### Cubic Conundrum

##### Age 7 to 16Challenge Level

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

### Getting an Angle

##### Age 11 to 14Challenge Level

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

### Counting Counters

##### Age 7 to 11Challenge Level

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

### Pyramid Numbers

##### Age 7 to 11Challenge Level

What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?

### Making Maths: Be a Mathemagician

##### Age 7 to 11Challenge Level

Surprise your friends with this magic square trick.

### More Marbles

##### Age 11 to 14Challenge 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?

### Putting Two and Two Together

##### Age 7 to 11Challenge Level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

### Little Boxes

##### Age 7 to 11Challenge Level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

### Rolling Triangle

##### Age 11 to 14Challenge Level

The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain how and why this shape can roll along between two parallel tracks.

### Marbles

##### Age 11 to 14Challenge Level

I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?

### Amazing Card Trick

##### Age 11 to 14Challenge Level

How is it possible to predict the card?

### 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?

### The Numbers Give the Design

##### Age 7 to 11Challenge Level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

### 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?

### Making Maths: Birds from an Egg

##### Age 7 to 11Challenge Level

Can you make the birds from the egg tangram?

### Cuisenaire Squares

##### Age 7 to 11Challenge Level

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

### Counter Ideas

##### Age 7 to 11Challenge Level

Here are some ideas to try in the classroom for using counters to investigate number patterns.

### Domino Sets

##### Age 7 to 11Challenge Level

How do you know if your set of dominoes is complete?

### The Best Card Trick?

##### Age 11 to 16Challenge Level

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

### 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?

### 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?

### Square Corners

##### Age 7 to 11Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

### Triangle Relations

##### Age 7 to 11Challenge Level

What do these two triangles have in common? How are they related?

### Folding, Cutting and Punching

##### Age 7 to 11Challenge Level

Exploring and predicting folding, cutting and punching holes and making spirals.

### Two on Five

##### Age 5 to 11Challenge Level

Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?

### Two Squared

##### Age 7 to 11Challenge Level

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?

### Constructing Triangles

##### Age 11 to 14Challenge Level

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

### Making Cuboids

##### Age 7 to 11Challenge Level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

### Music to My Ears

##### Age 7 to 11Challenge Level

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

### Triangle Shapes

##### Age 5 to 11Challenge Level

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

### Fractional Triangles

##### Age 7 to 11Challenge Level

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

### Cover the Tray

##### Age 7 to 11Challenge Level

These practical challenges are all about making a 'tray' and covering it with paper.

### Sticks and Triangles

##### Age 7 to 11Challenge Level

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

### Cutting Corners

##### Age 7 to 11Challenge Level

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

### 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?

### Move Those Halves

##### Age 7 to 11Challenge Level

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

### 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?

### Dice Stairs

##### Age 7 to 11Challenge Level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

### It's a Fence!

##### Age 5 to 11Challenge Level

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

### Four Layers

##### Age 5 to 11Challenge Level

Can you create more models that follow these rules?

### Creating Cubes

##### Age 7 to 11Challenge 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.

### Making Maths: Snake Pits

##### Age 5 to 14Challenge Level

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

### Tri.'s

##### Age 7 to 11Challenge Level

How many triangles can you make on the 3 by 3 pegboard?

### Three Squares

##### Age 5 to 11Challenge Level

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

### Tangram Pictures

##### Age 5 to 14Challenge Level

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