Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
There are nasty versions of this dice game but we'll start with the nice ones...
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
How many ways can you find to put in operation signs (+ - x ÷) to make 100?
Use the differences to find the solution to this Sudoku.
Here is a chance to play a version of the classic Countdown Game.
This Sudoku, based on differences. Using the one clue number can you find the solution?
How many different differences can you make?
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?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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.
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?
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.
Can you crack these cryptarithms?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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.
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
A brief article written for pupils about mathematical symbols.
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?
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?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
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.
Different combinations of the weights available allow you to make different totals. Which totals can you make?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
Can you explain how this card trick works?
What is the sum of all the digits in all the integers from one to one million?
How can we help students make sense of addition and subtraction of negative numbers?
Find the values of the nine letters in the sum: FOOT + BALL = 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"?
This article suggests some ways of making sense of calculations involving positive and negative numbers.
By selecting digits for an addition grid, what targets can you make?
Find out about Magic Squares in this article written for students. Why are they magic?!
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.
This challenge extends the Plants investigation so now four or more children are involved.
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. . . .
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. . . .
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. . . .
This Sudoku requires you to do some working backwards before working forwards.
What happens when you add a three digit number to its reverse?
Try out some calculations. Are you surprised by the results?
Got It game for an adult and child. How can you play so that you know you will always win?
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Here is a chance to play a fractions version of the classic Countdown Game.
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
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. . . .
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you explain the strategy for winning this game with any target?
Delight your friends with this cunning trick! Can you explain how it works?