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.

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?

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

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?

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.

Different combinations of the weights available allow you to make different totals. Which totals can you make?

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.

By selecting digits for an addition grid, what targets can you make?

Here is a chance to play a version of the classic Countdown Game.

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

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?

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.

Find the values of the nine letters in the sum: FOOT + BALL = GAME

This Sudoku requires you to do some working backwards before working forwards.

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

How many ways can you find to put in operation signs (+ - x ÷) to make 100?

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

There are nasty versions of this dice game but we'll start with the nice ones...

Use the differences to find the solution to this Sudoku.

This Sudoku, based on differences. Using the one clue number can you find the solution?

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?

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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.

Got It game for an adult and child. How can you play so that you know you will always win?

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. . . .

Can you explain the strategy for winning this game with any target?

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

Find out about Magic Squares in this article written for students. Why are they magic?!

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. . . .

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.

Try out some calculations. Are you surprised by the results?

What happens when you add a three digit number to its reverse?

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

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.

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?

Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

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. . . .

Delight your friends with this cunning trick! Can you explain how it works?

What is the sum of all the digits in all the integers from one to one million?