Here is a chance to play a fractions version of the classic Countdown Game.
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
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?
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
There are nasty versions of this dice game but we'll start with the nice ones...
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.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Replace each letter with a digit to make this addition correct.
What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
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.
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
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.
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
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. . . .
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?
Delight your friends with this cunning trick! Can you explain how it works?
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. . . .
By selecting digits for an addition grid, what targets can you make?
Can you explain the strategy for winning this game with any target?
Got It game for an adult and child. How can you play so that you know you will always win?
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
What is the sum of all the digits in all the integers from one to one million?
What happens when you add a three digit number to its reverse?
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
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?
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some. . . .
Try out some calculations. Are you surprised by the results?
How many different differences can you make?
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.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Here is a chance to play a version of the classic Countdown Game.
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. . . .
Play this game to learn about adding and subtracting positive and negative numbers
Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
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?
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?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
Choose any three by three square of dates on a calendar page...
This Sudoku requires you to do some working backwards before working forwards.
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?
Can you explain how this card trick works?
Can you crack these cryptarithms?
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?
A combination mechanism for a safe comprises thirty-two tumblers numbered from one to thirty-two in such a way that the numbers in each wheel total 132... Could you open the safe?
This addition sum uses all ten digits 0, 1, 2...9 exactly once. Find the sum and show that the one you give is the only possibility.
Find out about Magic Squares in this article written for students. Why are they magic?!