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Resources tagged with Practical Activity similar to Sorting Symmetries:

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

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Little Boxes

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

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

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Square Tangram

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

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

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Advent Calendar 2006

Stage: 2 Challenge Level: Challenge Level:1

NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.

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Cutting Corners

Stage: 2 Challenge Level: Challenge Level:1

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

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Advent Calendar 2008

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

Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.

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Escher Tessellations

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

This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.

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Map Folding

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

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

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Making Maths: Happy Families

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

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

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World of Tan 16 - Time Flies

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

Can you fit the tangram pieces into the outlines of the candle and sundial?

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World of Tan 24 - Clocks

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

Can you fit the tangram pieces into the outlines of these clocks?

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World of Tan 22 - an Appealing Stroll

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

Can you fit the tangram pieces into the outline of the child walking home from school?

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World of Tan 18 - Soup

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

Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?

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World of Tan 20 - Fractions

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

Can you fit the tangram pieces into the outlines of the chairs?

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World of Tan 15 - Millennia

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

Can you fit the tangram pieces into the outlines of the workmen?

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World of Tan 21 - Almost There Now

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

Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?

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World of Tan 19 - Working Men

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

Can you fit the tangram pieces into the outline of this shape. How would you describe it?

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World of Tan 14 - Celebrations

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

Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?

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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?

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Making Maths: Snowflakes

Stage: 2 Challenge Level: Challenge Level:1

It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!

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Making Maths: Five-point Snowflake

Stage: 2 Challenge Level: Challenge Level:1

Follow these instructions to make a five-pointed snowflake from a square of paper.

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World of Tan 3 - Mai Ling

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

Can you fit the tangram pieces into the outline of Mai Ling?

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Making Maths: Rolypoly

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

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

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World of Tan 7 - Gat Marn

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

Can you fit the tangram pieces into the outline of this plaque design?

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World of Tan 12 - All in a Fluff

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

Can you fit the tangram pieces into the outline of these rabbits?

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World of Tan 11 - the Past, Present and Future

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

Can you fit the tangram pieces into the outline of the telescope and microscope?

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World of Tan 9 - Animals

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

Can you fit the tangram pieces into the outline of this goat and giraffe?

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World of Tan 25 - Pentominoes

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

Can you fit the tangram pieces into the outlines of these people?

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World of Tan 29 - the Telephone

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

Can you fit the tangram pieces into the outline of this telephone?

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Putting Two and Two Together

Stage: 2 Challenge Level: Challenge Level:1

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?

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Cereal Packets

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

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

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Two by One

Stage: 2 Challenge Level: Challenge Level:1

An activity making various patterns with 2 x 1 rectangular tiles.

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Seven Flipped

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

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

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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?

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It's a Fence!

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

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

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How Tall?

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

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

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Four Layers

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

Can you create more models that follow these rules?

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Fit These Shapes

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

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?

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Making Tangrams

Stage: 2 Challenge Level: Challenge Level:1

Here's a simple way to make a Tangram without any measuring or ruling lines.

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Making Maths: Birds from an Egg

Stage: 2 Challenge Level: Challenge Level:1

Can you make the birds from the egg tangram?

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Two Squared

Stage: 2 Challenge Level: Challenge Level:1

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?

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World of Tan 28 - Concentrating on Coordinates

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

Can you fit the tangram pieces into the outline of Little Ming playing the board game?

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World of Tan 27 - Sharing

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

Can you fit the tangram pieces into the outline of Little Fung at the table?

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World of Tan 6 - Junk

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

Can you fit the tangram pieces into the outline of this junk?

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World of Tan 4 - Monday Morning

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

Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?

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Sticks and Triangles

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

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?

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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?

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Making Maths: Indian Window Screen

Stage: 2 Challenge Level: Challenge Level:1

Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?

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World of Tan 26 - Old Chestnut

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

Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?

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Two on Five

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

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?

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Creating Cubes

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

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.


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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