Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Use the differences to find the solution to this Sudoku.

Challenge Level

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.

Challenge Level

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

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

Challenge Level

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Challenge Level

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

Challenge Level

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 explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.

Challenge Level

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?

Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

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.

Challenge Level

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. . . .

Challenge Level

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

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

Challenge Level

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. . . .

Challenge Level

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.

Challenge Level

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. . . .

Challenge Level

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?

Challenge Level

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. . . .

Challenge Level

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.

Challenge Level

This challenge extends the Plants investigation so now four or more children are involved.

Challenge Level

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

Challenge Level

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?

Challenge Level

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.

Challenge Level

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

Challenge Level

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?

Challenge Level

Play this game to learn about adding and subtracting positive and negative numbers