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?
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
Can you explain how this card trick works?
This Sudoku requires you to do some working backwards before working forwards.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
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?
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.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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 different differences can you make?
This is an adding game for two players.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
By selecting digits for an addition grid, what targets can you make?
This article suggests some ways of making sense of calculations involving positive and negative numbers.
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?
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?
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
Here is a chance to play a fractions version of the classic Countdown Game.
Here is a chance to play a version of the classic Countdown Game.
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?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
A game for 2 players. Practises subtraction or other maths operations knowledge.
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.
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?
Different combinations of the weights available allow you to make different totals. Which totals can you make?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Delight your friends with this cunning trick! Can you explain how it works?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Find out about Magic Squares in this article written for students. Why are they magic?!
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?
Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
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?
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
Surprise your friends with this magic square trick.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.