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

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

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

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.

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

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

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?

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?

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

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

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

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

Weekly Problem 20 - 2010

You have already used Magic Squares, now meet a Magic Octahedron...

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

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?

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

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.

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

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

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.

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.

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

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?

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

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

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

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.

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.

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

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

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

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

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

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

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

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

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

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