Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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 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?
How many different differences can you make?
This Sudoku, based on differences. Using the one clue number can you find the solution?
Use the differences to find the solution to this Sudoku.
How many ways can you find to put in operation signs (+ - x ÷) to make 100?
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.
Choose any three by three square of dates on a calendar page...
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?
How is it possible to predict the card?
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.
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
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.
Here is a chance to play a version of the classic Countdown Game.
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?
This article for teachers suggests ideas for activities built around 10 and 2010.
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
By selecting digits for an addition grid, what targets can you make?
Got It game for an adult and child. How can you play so that you know you will always win?
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
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 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?
Replace each letter with a digit to make this addition correct.
This Sudoku requires you to do some working backwards before working forwards.
There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about. . . .
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?
Using the 8 dominoes make a square where each of the columns and rows adds up to 8
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Can you explain how this card trick works?
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
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?
Find out about Magic Squares in this article written for students. Why are they magic?!
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Delight your friends with this cunning trick! Can you explain how it works?
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.
Can you explain the strategy for winning this game with any target?
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 article suggests some ways of making sense of calculations involving positive and negative numbers.
This challenge extends the Plants investigation so now four or more children are involved.
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?