Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
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?
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
Choose a symbol to put into the number sentence.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Use the clues to colour each square.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you match the halves in this interactive game?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
Calculate the fractional amounts of money to match pairs of cards with the same value.
What is the greatest number of squares you can make by overlapping three squares?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
A train building game for two players. Can you be the one to complete the train?
Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?
Here is a chance to play a version of the classic Countdown Game.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.
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.
Train game for an adult and child. Who will be the first to make the train?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
A game in which players take it in turns to choose a number. Can you block your opponent?
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?