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Use Excel to explore multiplication of fractions.

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

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

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

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Use an Excel spreadsheet to explore long multiplication.

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Use an interactive Excel spreadsheet to investigate factors and multiples.

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Use Excel to practise adding and subtracting fractions.

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An Excel spreadsheet with an investigation.

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

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

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

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

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

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

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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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This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.

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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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A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .

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Here is a chance to play a fractions version of the classic Countdown 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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Can you find a strategy that ensures you get to take the last biscuit in this game?

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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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The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?

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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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There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . .

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A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?

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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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Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?

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

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P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

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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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A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?