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There are **42** NRICH Mathematical resources connected to **Representing**, you may find related items under Thinking mathematically.

Problem
Primary curriculum
Secondary curriculum
### Picture Your Method

Can you match these calculation methods to their visual representations?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Birthday Sharing

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Dice in a Corner

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Let Us Divide!

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Olympic Turns

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### That Number Square

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Going for Gold

Looking at the 2012 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Factorising with Multilink

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Vector Journeys

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Always a Multiple?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Vector Walk

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sticky Numbers

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Searching for Mean(ing)

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Catrina's Cards

How would you find out how many football cards Catrina has collected?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### One Big Triangle

Make one big triangle so the numbers that touch on the small triangles add to 10.

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sweetie Box

Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Rod Area

This task challenges you to create symmetrical U shapes out of rods and find their areas.

Age 7 to 11

Article
Primary curriculum
Secondary curriculum
### Young Children's Mathematical Recording

In this article, Janine Davenall reflects on children's personalised mathematical recordings as part of a small research project based in her Reception class.

Age 3 to 7

List
Primary curriculum
Secondary curriculum
### Representing - Short Problems

A collection of short Stage 3 and 4 problems on Representing.

Age 11 to 16

Article
Primary curriculum
Secondary curriculum
### Primary Children's Mathematical Recording

This article for teachers outlines different types of recording, depending on the purpose and audience.

Age 3 to 11

Problem
Primary curriculum
Secondary curriculum
### Trig Reps

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Hyperbolic Thinking

Explore the properties of these two fascinating functions using trigonometry as a guide.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Polar Bearings

What on earth are polar coordinates, and why would you want to use them?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Charting More Success

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Charting Success

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 3D Stacks

Can you find a way of representing these arrangements of balls?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sheep in Wolf's Clothing

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Painting by Functions

Use functions to create minimalist versions of works of art.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Maths Shop Window

Make a functional window display which will both satisfy the manager and make sense to the shoppers

Age 16 to 18

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Children's Mathematical Graphics: Understanding the Key Concept

In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.

Age 5 to 7

Problem
Primary curriculum
Secondary curriculum
### 28 - Upward and Onward

Can you find ways of joining cubes together so that 28 faces are visible?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### What Is the Question?

These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Building Gnomons

Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Flying Holiday

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Dodecamagic

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Gnomon Dimensions

These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Calendar Capers

Choose any three by three square of dates on a calendar page...

Age 11 to 14

Challenge Level