Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Got It game for an adult and child. How can you play so that you know you will always win?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Choose a symbol to put into the number sentence.
Here is a chance to play a 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?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
This is an adding game for two players.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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'.
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?
There are nasty versions of this dice game but we'll start with the nice ones...
Find your way through the grid starting at 2 and following these operations. What number do you end on?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
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?
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?
You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
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 game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
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 follows on from Build it Up and takes the ideas into three dimensions!
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.
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
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.
A game for 2 players. Practises subtraction or other maths operations knowledge.
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side 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.
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 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. . . .
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?
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?
You have 5 darts and your target score is 44. How many different ways could you score 44?
A number game requiring a strategy.
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?
Try out this number trick. What happens with different starting numbers? What do you notice?
These two group activities use mathematical reasoning - one is numerical, one geometric.
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
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?
Follow the directions for circling numbers in the matrix. Add all the circled numbers together. Note your answer. Try again with a different starting number. What do you notice?
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?
In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?