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?
A game for 2 players. Practises subtraction or other maths operations knowledge.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Find out about Magic Squares in this article written for students. Why are they magic?!
How many different differences can you make?
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 is an adding game for two players.
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?
Here is a chance to play a fractions version of the classic Countdown Game.
Can you explain how this card trick works?
This Sudoku requires you to do some working backwards before working forwards.
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.
Can you explain the strategy for winning this game with any target?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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.
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Got It game for an adult and child. How can you play so that you know you will always win?
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.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
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.
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
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.
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
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?
You have 5 darts and your target score is 44. How many different ways could you score 44?
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?
How is it possible to predict the card?
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
Can you crack these cryptarithms?
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
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?
This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
This article for teachers suggests ideas for activities built around 10 and 2010.
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
This task follows on from Build it Up and takes the ideas into three dimensions!
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
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?
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Can you each work out the number on your card? What do you notice? How could you sort the cards?