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Broad Topics > Using, Applying and Reasoning about Mathematics > Selecting and using information

### Through the Window

##### Age 7 to 11 Challenge Level:

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

### Ordering Cards

##### Age 5 to 11 Challenge Level:

This problem is designed to help children to learn, and to use, the two and three times tables.

### What's in a Name?

##### Age 5 to 7 Challenge Level:

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

### Going for Gold

##### Age 7 to 11 Challenge Level:

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?

### The Animals' Sports Day

##### Age 5 to 7 Challenge Level:

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

### The Games' Medals

##### Age 5 to 7 Challenge Level:

Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?

### How Tall?

##### Age 5 to 11 Challenge Level:

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

### Fifteen Cards

##### Age 7 to 11 Challenge Level:

Can you use the information to find out which cards I have used?

### Discuss and Choose

##### Age 5 to 11 Challenge Level:

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

### Order, Order!

##### Age 5 to 11 Challenge Level:

Can you place these quantities in order from smallest to largest?

### Planning a School Trip

##### Age 7 to 11 Challenge Level:

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

### How Would You Score It?

##### Age 11 to 14 Challenge Level:

Invent a scoring system for a 'guess the weight' competition.

### Table Patterns Go Wild!

##### Age 7 to 11 Challenge Level:

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

### Jig Shapes

##### Age 5 to 11 Challenge Level:

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

### Difference Sudoku

##### Age 14 to 16 Challenge Level:

Use the differences to find the solution to this Sudoku.

### Children at Large

##### Age 11 to 14 Challenge Level:

There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?

### Sweet Shop

##### Age 11 to 14 Challenge Level:

Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.

### John's Train Is on Time

##### Age 11 to 14 Challenge Level:

A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?

### Letter Land

##### Age 11 to 14 Challenge Level:

If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.

### Approximating Pi

##### Age 14 to 18 Challenge Level:

By inscribing a circle in a square and then a square in a circle find an approximation to pi. By using a hexagon, can you improve on the approximation?

### Birthday Cakes

##### Age 5 to 7 Challenge Level:

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

### What Am I?

##### Age 7 to 11 Challenge Level:

Can you draw the shape that is being described by these cards?

### Who Can Be the Winner?

##### Age 5 to 7 Challenge Level:

Some children have been doing different tasks. Can you see who was the winner?

### Olympic Cards

##### Age 5 to 11 Challenge Level:

Design your own scoring system and play Trumps with these Olympic Sport cards.

### Curve Spotting

##### Age 5 to 7 Challenge Level:

Can you spot circles, spirals and other types of curves in these photos?

### Olympic Logic

##### Age 11 to 16 Challenge Level:

Can you use your powers of logic and deduction to work out the missing information in these sporty situations?

### A Random Rambling Rant

##### Age 5 to 18

A random ramble for teachers through some resources that might add a little life to a statistics class.

### Escape from the Castle

##### Age 7 to 11 Challenge Level:

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

##### Age 11 to 14 Challenge Level:

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

### Pairs of Legs

##### Age 5 to 7 Challenge Level:

How many legs do each of these creatures have? How many pairs is that?

### Order the Changes

##### Age 7 to 11 Challenge Level:

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

### In Order

##### Age 7 to 11 Challenge Level:

Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.

### Four Coloured Lights

##### Age 11 to 14 Challenge Level:

Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?

### Thirsty?

##### Age 5 to 7 Challenge Level:

Can you lay out the pictures of the drinks in the way described by the clue cards?

### Which Numbers? (2)

##### Age 7 to 11 Challenge Level:

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

### Which Numbers? (1)

##### Age 7 to 11 Challenge Level:

I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?

### Sort Them Out (2)

##### Age 7 to 11 Challenge Level:

Can you each work out the number on your card? What do you notice? How could you sort the cards?

### Spectrometry Detective

##### Age 16 to 18 Challenge Level:

From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?

### Carbon Footprints

##### Age 14 to 16 Challenge Level:

Is it really greener to go on the bus, or to buy local?

### Time to Evolve

##### Age 14 to 16 Challenge Level:

How many generations would link an evolutionist to a very distant ancestor?

### Twin Equivalent Sudoku

##### Age 16 to 18 Challenge Level:

This Sudoku problem consists of a pair of linked standard Suduko puzzles each with some starting digits

##### Age 14 to 18 Challenge Level:

Which of these roads will satisfy a Munchkin builder?

### Twin Line-swapping Sudoku

##### Age 14 to 16 Challenge Level:

A pair of Sudoku puzzles that together lead to a complete solution.

##### Age 11 to 16 Challenge Level:

Four small numbers give the clue to the contents of the four surrounding cells.

### Pole Star Sudoku 2

##### Age 11 to 16 Challenge Level:

This Sudoku, based on differences. Using the one clue number can you find the solution?

### Problem Solving, Using and Applying and Functional Mathematics

##### Age 5 to 18 Challenge Level:

Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.

### The Naked Pair in Sudoku

##### Age 7 to 16

A particular technique for solving Sudoku puzzles, known as "naked pair", is explained in this easy-to-read article.

### Back to the Practical?

##### Age 7 to 14

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

### A-maze-ing

##### Age 7 to 14

Did you know that ancient traditional mazes often tell a story? Remembering the story helps you to draw the maze.

### What Does it Say to You?

##### Age 5 to 11

Written for teachers, this article discusses mathematical representations and takes, in the second part of the article, examples of reception children's own representations.