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

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Difference Sudoku

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

Use the differences to find the solution to this Sudoku.

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Inspector Morse

Stage: 3 Challenge Level: Challenge Level:1

You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?

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Children at Large

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

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

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Sweet Shop

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

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.

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John's Train Is on Time

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

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?

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Tree Tops

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

A manager of a forestry company has to decide which trees to plant. What strategy for planting and felling would you recommend to the manager in order to maximise the profit?

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Letter Land

Stage: 3 Challenge Level: Challenge Level:1

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.

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Approximating Pi

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Birthday Cakes

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

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?

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What Am I?

Stage: 2 Challenge Level: Challenge Level:1

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

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Through the Window

Stage: 2 Challenge Level: Challenge Level:1

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?

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Who Can Be the Winner?

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

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

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Olympic Cards

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

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

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Curve Spotting

Stage: 1 Challenge Level: Challenge Level:1

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

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Olympic Logic

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

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

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Ordering Cards

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

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

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What's in a Name?

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

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

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Going for Gold

Stage: 2 Challenge Level: Challenge Level:1

Looking at the 2008 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

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The Animals' Sports Day

Stage: 1 Challenge Level: Challenge Level:1

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.

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The Games' Medals

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

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

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A Random Rambling Rant

Stage: 1, 2, 3, 4 and 5

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

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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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Fifteen Cards

Stage: 2 Challenge Level: Challenge Level:1

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

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Escape from the Castle

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

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?

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Place Your Orders

Stage: 3 Challenge Level: Challenge Level:1

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

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Pairs of Legs

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

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

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Discuss and Choose

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

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.

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Order the Changes

Stage: 2 Challenge Level: Challenge Level:1

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

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In Order

Stage: 2 Challenge Level: Challenge Level:1

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

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Order, Order!

Stage: 2 Challenge Level: Challenge Level:1

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

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The Why and How of Substitution

Stage: 5

Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.

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Shapes in a Grid

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

Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?

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Four Coloured Lights

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

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?

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Thirsty?

Stage: 1 Challenge Level: Challenge Level:1

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

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Planning a School Trip

Stage: 2 Challenge Level: Challenge Level:1

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.

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How Would You Score It?

Stage: 3 Challenge Level: Challenge Level:1

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

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Which Numbers? (2)

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

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

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Which Numbers? (1)

Stage: 2 Challenge Level: Challenge Level:1

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?

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Table Patterns Go Wild!

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

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.

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Sort Them Out (2)

Stage: 2 Challenge Level: Challenge Level:1

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

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Jig Shapes

Stage: 1 Challenge Level: Challenge Level:1

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

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Spectrometry Detective

Stage: 5 Challenge Level: Challenge Level:1

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

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Carbon Footprints

Stage: 4 Challenge Level: Challenge Level:1

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

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Time to Evolve

Stage: 4 Challenge Level: Challenge Level:1

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

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Twin Equivalent Sudoku

Stage: 5 Challenge Level: Challenge Level:1

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

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Road Maker

Stage: 4 and 5 Challenge Level: Challenge Level:1

Which of these roads will satisfy a Munchkin builder?

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Twin Line-swapping Sudoku

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

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

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Quadruple Sudoku

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

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

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Pole Star Sudoku 2

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

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

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Problem Solving, Using and Applying and Functional Mathematics

Stage: 1, 2, 3, 4 and 5 Challenge Level: Challenge Level:1

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.