Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Can you beat the computer in the challenging strategy game?
The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.
Can you explain the strategy for winning this game with any target?
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
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.
Use Excel to explore multiplication of fractions.
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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 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.
An interactive activity for one to experiment with a tricky tessellation
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
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?
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?
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
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....?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Train game for an adult and child. Who will be the first to make the train?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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.
How good are you at estimating angles?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Choose a symbol to put into the number sentence.
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?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Here is a chance to play a version of the classic Countdown Game.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
A train building game for two players. Can you be the one to complete the train?
An animation that helps you understand the game of Nim.
Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?
Calculate the fractional amounts of money to match pairs of cards with the same value.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?