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M, M and M

Age 11 to 14 Challenge Level:

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

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M, M and M Poster

Age 11 to 14 Challenge Level:

M, M and M

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MA/ATM at King's London

Resources to accompany Charlie's workshop.

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Mach Attack

Age 16 to 18 Challenge Level:

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

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Machines

Age 7 to 11 Challenge Level:

What is happening at each box in these machines?

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Mad Robot

Age 16 to 18 Short Challenge Level:

Can you work out what happens when this mad robot sets off?

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Magazines

Age 7 to 11 Challenge Level:

Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.

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Magic 7

Age 11 to 14 Short Challenge Level:

Can you complete this magic square with the numbers from 7 to 15?

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Magic Bag

Age 16 to 18 Challenge Level:

A weekly challenge concerning combinatorical probability.

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Magic Caterpillars

Age 14 to 18 Challenge Level:

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

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Magic Circles

Age 7 to 11 Challenge Level:

Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the numbers on each circle add up to the same amount. Can you find the rule for giving another set of six numbers?

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Magic Constants

Age 7 to 11 Challenge Level:

In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?

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Magic Crosses

Age 7 to 14 Challenge Level:

Can you find examples of magic crosses? Can you find all the possibilities?

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Magic Error

Age 11 to 14 Short Challenge Level:

Two of the numbers in a 4x4 magic square have been swapped. Can you work out the sum of these numbers?

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Magic Letters

Age 11 to 14 Challenge Level:

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

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Magic Matrix

Age 7 to 11 Challenge Level:

Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?

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Magic Octahedron

Age 11 to 14 Short Challenge Level:

Weekly Problem 20 - 2010
You have already used Magic Squares, now meet a Magic Octahedron...

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Magic Plant

Age 5 to 7 Challenge Level:

On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

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Magic Potting Sheds

Age 11 to 14 Challenge Level:

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

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Magic Squares

Age 14 to 18

An account of some magic squares and their properties and and how to construct them for yourself.

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Magic Squares for Special Occasions

Age 11 to 16

This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.

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Magic Squares II

Age 14 to 18

An article which gives an account of some properties of magic squares.

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Magic Sums and Products

Age 11 to 16

How to build your own magic squares.

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Magic Triangle

Age 7 to 11 Challenge Level:

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

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Magic Vs

Age 7 to 11 Challenge Level:

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

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Magic Vs Poster

Age 7 to 11 Challenge Level:

Magic Vs - December 2008

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Magic W

Age 14 to 16 Challenge Level:

Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.

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Magic W Wrap Up

Age 16 to 18 Challenge Level:

Prove that you cannot form a Magic W with a total of 12 or less or with a with a total of 18 or more.

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Magical Products

Age 11 to 14 Short Challenge Level:

Can you place the nine cards onto a 3x3 grid such that every row, column and diagonal has a product of 1?

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Magician's Hat

Age 11 to 14 Short Challenge Level:

Weekly problem 12 - 2007
Kan the magician can tell Roo that his cards add up to an even number. What is the sum of Kan's cards?

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Magnetic Personality

Age 7 to 16 Challenge Level:

60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?

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Maisy Goes Camping

Age 3 to 5 Challenge Level:

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Make 100

Age 7 to 11 Challenge Level:

Find at least one way to put in some operation signs (+ - x รท) to make these digits come to 100.

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Make 100 Poster

Age 7 to 11 Challenge Level:

Make 100

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Make 24

Age 7 to 14 Challenge Level:

A card game for 2 or 4 players that will test your speedy arithmetic skills!

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Make 37

Age 7 to 14 Challenge Level:

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

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Make 37 Poster

Age 7 to 14 Challenge Level:

Make 37 - March 2011

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Make Pairs

Age 7 to 11 Challenge Level:

Put 10 counters in a row. Find a way to arrange the counters into five pairs, evenly spaced in a row, in just 5 moves, using the rules.

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Make Those Bracelets

Age 7 to 11 Challenge Level:

Find all the ways of arranging the beads on this bracelet, using just two colours.

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Make Your Own Pencil Case

Age 11 to 14 Challenge Level:

What shape would fit your pens and pencils best? How can you make it?

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Make Your Own Robot

Age 7 to 14 Challenge Level:

A simple robot to make, plus robots in everyday life to investigate.

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Make Your Own Solar System

Age 7 to 16 Challenge Level:

Making a scale model of the solar system

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Makeover

Age 5 to 11 Challenge Level:

Exchange the positions of the two sets of counters in the least possible number of moves

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Making 11p

Age 11 to 14 Short Challenge Level:

How many ways are there to make 11p using 1p, 2p and 5p coins?

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Making a Difference

Age 11 to 14 Challenge Level:

How many different differences can you make?

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Making a New Picture

Age 3 to 5

Children's picture making is a useful context for recognising and describing patterns and shapes. DOWNLOAD HERE

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Making a Picture

Age 3 to 5

Stick some card shapes onto paper to make a picture. Where do you want the shapes to go? Why?

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Making Algebra Rich

Age 5 to 11

Lynne suggests activities which support the development of primary children's algebraic thinking.

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Making Boxes

Age 7 to 11 Challenge Level:

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

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Making Caterpillars

Age 3 to 5

Make a caterpillar out of modelling clay. What can you say about your caterpillar? Can you make it longer or shorter?