Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Delight your friends with this cunning trick! Can you explain how it works?
How is it possible to predict the card?
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Different combinations of the weights available allow you to make different totals. Which totals can you make?
This Sudoku, based on differences. Using the one clue number can you find the solution?
Here is a chance to play a version of the classic Countdown Game.
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
Here is a chance to play a fractions version of the classic Countdown Game.
There are nasty versions of this dice game but we'll start with the nice ones...
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
This challenge extends the Plants investigation so now four or more children are involved.
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
Got It game for an adult and child. How can you play so that you know you will always win?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
Find out about Magic Squares in this article written for students. Why are they magic?!
Can you explain the strategy for winning this game with any target?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
This Sudoku requires you to do some working backwards before working forwards.
Can you explain how this card trick works?
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
The country Sixtania prints postage stamps with only three values 6 lucres, 10 lucres and 15 lucres (where the currency is in lucres).Which values cannot be made up with combinations of these postage. . . .
Replace each letter with a digit to make this addition correct.
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
A brief article written for pupils about mathematical symbols.
Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was. . . .
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
In the following sum the letters A, B, C, D, E and F stand for six distinct digits. Find all the ways of replacing the letters with digits so that the arithmetic is correct.
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?
You have four jugs of 9, 7, 4 and 2 litres capacity. The 9 litre jug is full of wine, the others are empty. Can you divide the wine into three equal quantities?
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.
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
Choose any three by three square of dates on a calendar page...
What is the sum of all the digits in all the integers from one to one million?
Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
Try out some calculations. Are you surprised by the results?
When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .
This article suggests some ways of making sense of calculations involving positive and negative numbers.
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?