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?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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....?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
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.
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 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Calculate the fractional amounts of money to match pairs of cards with the same value.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
If you have only four weights, where could you place them in order to balance this equaliser?
Use the interactivities to complete these Venn diagrams.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
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 clues to colour each square.
Here is a chance to play a version of the classic Countdown Game.
Choose a symbol to put into the number sentence.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
An odd version of tic tac toe
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Practise your tables skills and try to beat your previous best score in this interactive game.
Can you cover the camel with these pieces?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
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?
Can you complete this jigsaw of the multiplication square?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
What happens when you try and fit the triomino pieces into these two grids?
Practise your number bonds whilst improving your memory in this matching pairs game.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
A card pairing game involving knowledge of simple ratio.
The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.