Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Here is a chance to play a fractions version of the classic Countdown Game.
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?
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?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Can you explain how this card trick works?
Delight your friends with this cunning trick! Can you explain how it works?
Can you explain the strategy for winning this game with any target?
Here is a chance to play a version of the classic Countdown Game.
This is an adding game for two players.
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. . . .
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.
Got It game for an adult and child. How can you play so that you know you will always win?
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?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
A game for 2 players. Practises subtraction or other maths operations knowledge.
Surprise your friends with this magic square trick.
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'.
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.
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.
Different combinations of the weights available allow you to make different totals. Which totals can you make?
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
A number game requiring a strategy.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
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?!
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?
This Sudoku requires you to do some working backwards before working forwards.
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
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?
Choose a symbol to put into the number sentence.
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?