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Find the frequency distribution for ordinary English, and use it to help you crack the code.

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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?

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Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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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?

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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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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....?

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Here is a chance to play a fractions version of the classic Countdown Game.

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Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

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Can you complete this jigsaw of the multiplication square?

The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.

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Can you explain the strategy for winning this game with any target?

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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?

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Here is a chance to play a version of the classic Countdown Game.

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These interactive dominoes can be dragged around the screen.

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Practise your tables skills and try to beat your previous best score in this interactive game.

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A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.

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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.

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Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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A train building game for two players. Can you be the one to complete the train?

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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?

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Calculate the fractional amounts of money to match pairs of cards with the same value.

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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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Train game for an adult and child. Who will be the first to make the train?

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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

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Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

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In this game you are challenged to gain more columns of lily pads than your opponent.

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Practise your number bonds whilst improving your memory in this matching pairs game.

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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?

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Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

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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?

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What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?

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Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .

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Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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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?

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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.

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A game in which players take it in turns to choose a number. Can you block your opponent?

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A collection of resources to support work on Factors and Multiples at Secondary level.

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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. . . .

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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.

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What shaped overlaps can you make with two circles which are the same size?

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Can you work out what step size to take to ensure you visit all the dots on the circle?

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Can you find the pairs that represent the same amount of money?

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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

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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?