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It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?

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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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Use Excel to explore multiplication of fractions.

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To avoid losing think of another very well known game where the patterns of play are similar.

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The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"

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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?

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in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

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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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Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

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

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

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

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

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

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

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A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

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Use an interactive Excel spreadsheet to explore number in this exciting game!

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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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Use an interactive Excel spreadsheet to investigate factors and multiples.

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Use Excel to investigate the effect of translations around a number grid.

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An Excel spreadsheet with an investigation.

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Use Excel to practise adding and subtracting fractions.

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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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Use an Excel spreadsheet to explore long multiplication.

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Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.

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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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Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.

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Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.

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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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Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .

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Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

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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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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

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

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Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

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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.

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Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

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Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

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Can you find a strategy that ensures you get to take the last biscuit in this game?

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How good are you at finding the formula for a number pattern ?