# Resources tagged with: Practical Activity

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There are 208 NRICH Mathematical resources connected to Practical Activity, you may find related items under Thinking Mathematically.

Broad Topics > Thinking Mathematically > Practical Activity

### Paper Partners

##### Age 5 to 7Challenge Level

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

### Paper Patchwork 2

##### Age 5 to 7Challenge Level

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

### Paper Patchwork 1

##### Age 5 to 7Challenge Level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

### 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 ...

### Compare the Cups

##### Age 5 to 7Challenge Level

You'll need a collection of cups for this activity.

### Bottles (2)

##### Age 5 to 7Challenge Level

In this activity focusing on capacity, you will need a collection of different jars and bottles.

### Car Journey

##### Age 7 to 11Challenge Level

This practical activity involves measuring length/distance.

### Bottles (1)

##### Age 5 to 7Challenge Level

For this activity which explores capacity, you will need to collect some bottles and jars.

### Domino Sets

##### Age 7 to 11Challenge Level

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

### How Tall?

##### Age 5 to 11Challenge Level

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

### Data Shapes

##### Age 5 to 7Challenge 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?

### Bryony's Triangle

##### Age 7 to 11Challenge Level

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

### Pairs of Numbers

##### Age 5 to 7Challenge Level

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

### Shapely Lines

##### Age 5 to 7Challenge 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?

### Exploded Squares

##### Age 5 to 7Challenge Level

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

### 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...

### The Hair Colour Game

##### Age 7 to 11Challenge Level

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

### Next Size Up

##### Age 7 to 11Challenge Level

The challenge for you is to make a string of six (or more!) graded cubes.

### How Many?

##### Age 5 to 7Challenge Level

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

### 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.

### Jig Shapes

##### Age 5 to 11Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

### 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.

### Two-digit Targets

##### Age 5 to 7Challenge Level

You have a set of the digits from 0 â€“ 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

### Repeating Patterns

##### Age 5 to 7Challenge Level

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

### Making Longer, Making Shorter

##### Age 5 to 7Challenge Level

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

### It's a Tie

##### Age 7 to 11Challenge Level

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

### 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?

### Clapping Times

##### Age 5 to 7Challenge Level

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

### 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?

### Sizing Them Up

##### Age 5 to 7Challenge Level

Can you put these shapes in order of size? Start with the smallest.

##### Age 7 to 11Challenge Level

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

### Little Man

##### Age 5 to 7Challenge Level

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

##### Age 7 to 11Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

### Chairs and Tables

##### Age 5 to 7Challenge Level

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

### Tangram Tangle

##### Age 5 to 7Challenge Level

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

### Sponge Sections

##### Age 7 to 11Challenge Level

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

### 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.

### Amazing Card Trick

##### Age 11 to 14Challenge Level

How is it possible to predict the card?

### Let Us Reflect

##### Age 7 to 11Challenge Level

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

### Halving

##### Age 5 to 7Challenge Level

These pictures show squares split into halves. Can you find other ways?

### Proof Sorter - Sum of an Arithmetic Sequence

##### Age 16 to 18Challenge Level

Put the steps of this proof in order to find the formula for the sum of an arithmetic sequence

### 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?

### 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?

### Egyptian Rope

##### Age 7 to 11Challenge Level

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

### 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?

### Building with Solid Shapes

##### Age 5 to 7Challenge 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?

### Making Sticks

##### Age 5 to 7Challenge Level

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?