Search by Topic

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 246 results

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

problem icon

Tower of Hanoi

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Repeating Patterns

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

It's a Tie

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

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?

problem icon

Music to My Ears

Stage: 2 Challenge Level: Challenge Level:1

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?

problem icon

Clapping Times

Stage: 1 Challenge Level: Challenge Level:1

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?

problem icon

Factors and Multiples Game

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

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

problem icon

Fractions Jigsaw

Stage: 3 Challenge Level: Challenge Level:1

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

problem icon

Cunning Card Trick

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

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

problem icon

Factors and Multiples Puzzle

Stage: 3 Challenge Level: Challenge Level:1

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

problem icon

Sizing Them Up

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Brush Loads

Stage: 2 Challenge Level: Challenge Level:1

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.

problem icon

Little Man

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

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?

problem icon

Stringy Quads

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

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

problem icon

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!

problem icon

Fractional Triangles

Stage: 2 Challenge Level: Challenge Level:1

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

problem icon

Amazing Card Trick

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

How is it possible to predict the card?

problem icon

Let Us Reflect

Stage: 2 Challenge Level: Challenge Level:1

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

problem icon

Halving

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

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

problem icon

Proof Sorter - Sum of an AP

Stage: 5 Challenge Level: Challenge Level:1

Use this interactivity to sort out the steps of the proof of the formula for the sum of an arithmetic series. The 'thermometer' will tell you how you are doing

problem icon

Triangles to Tetrahedra

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

Starting with four different triangles, imagine you have an unlimited number of each type. How many different tetrahedra can you make? Convince us you have found them all.

problem icon

Square Corners

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

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?

problem icon

Egyptian Rope

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

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?

problem icon

Nine Colours

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

You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.

problem icon

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?

problem icon

Making Sticks

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

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?

problem icon

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?

problem icon

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?

problem icon

Making Cuboids

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

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?

problem icon

Paper Partners

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Regular Rings 2

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

What shape is made when you fold using this crease pattern? Can you make a ring design?

problem icon

Regular Rings 1

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

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

problem icon

Folding Flowers 2

Stage: 2 Challenge Level: Challenge Level:1

Make a flower design using the same shape made out of different sizes of paper.

problem icon

Folding Flowers 1

Stage: 2 Challenge Level: Challenge Level:1

Can you visualise what shape this piece of paper will make when it is folded?

problem icon

Paper Patchwork 2

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Paper Patchwork 1

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Dice Stairs

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

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

problem icon

Move Those Halves

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

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 ...

problem icon

Compare the Cups

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Bottles (2)

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Car Journey

Stage: 2 Challenge Level: Challenge Level:1

This practical activity involves measuring length/distance.

problem icon

Bottles (1)

Stage: 1 Challenge Level: Challenge Level:1

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

problem icon

Take One Metre

Stage: 1 Challenge Level: Challenge Level:1

You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?

problem icon

Factors and Multiples Game for Two

Stage: 2 Challenge Level: Challenge Level:1

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

problem icon

This Fencing

Stage: 2 Challenge Level: Challenge Level:1

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

problem icon

Domino Sets

Stage: 2 Challenge Level: Challenge Level:1

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

problem icon

Cover the Tray

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

problem icon

Cool as Ice

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

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

problem icon

Straw Scaffold

Stage: 3 Challenge Level: Challenge Level:1

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

problem icon

Gym Bag

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

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

problem icon

Witch's Hat

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

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