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An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

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A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?

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How much peel does an apple have?

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What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

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A ribbon is nailed down with a small amount of slack. What is the largest cube that can pass under the ribbon ?

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Learn how to use Excel to create triangular arrays.

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Learn how to use advanced pasting techniques to create interactive spreadsheets.

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Choose four numbers and make two fractions. Use an Excel spreadsheet to investigate their properties. Can you generalise?

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Learn how to use logic tests to create interactive resources using Excel.

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Learn how to use lookup functions to create exciting interactive Excel spreadsheets.

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Take any whole number between 1 and 999, add the squares of the digits to get a new number. Use a spreadsheet to investigate this sequence.

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Learn how to use conditional formatting to create attractive interactive spreadsheets in Excel.

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This spreadsheet highlights multiples of numbers up to 20 in Pascal's triangle. What patterns can you see?

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Use Excel to create some number pyramids. How are the numbers in the base line related to each other? Investigate using the spreadsheet.

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Use Excel to investigate remainders and divisors. Was your result predictable?

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Learn how to use composite bar charts in Excel.

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This investigation uses Excel to optimise a characteristic of interest.

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A fire-fighter needs to fill a bucket of water from the river and take it to a fire. What is the best point on the river bank for the fire-fighter to fill the bucket ?.

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The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

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Learn how to use the Excel functions LCM and GCD.

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Use an Excel spreadsheet to approximate a decimal using trial and improvement.

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Use Excel to investigate digit sums of multiples of three. Can you explain your findings?

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Use Excel to find sets of three numbers so that the sum of the squares of the first two is equal to the square of the third.

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A number of useful techniques that can extend your use of Excel.

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Learn how to use increment buttons and scroll bars to create interactive Excel resources.

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If you take two integers and look at the difference between the square of each value, there is a nice relationship between the original numbers and that difference. Can you find the pattern using. . . .

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A heap of beads was shared out by a professional bead sharer. Use the information given to find out how many beads there were at the start.

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Learn how to make a simple table using Excel.

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When is 7^n + 3^n a multiple of 10? Use Excel to investigate, and try to explain what you find out.

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Investigate factors and multiples using this interactive Excel spreadsheet. Use the increment buttons for experimentation and feedback.

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I have an unlimited supply of planks, of lengths 7 and 9 units. Putting planks end to end, what total lengths can be achieved? Use Excel to investigate.

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Use an Excel spreadsheet to investigate differences between four numbers. Which set of start numbers give the longest run before becoming 0 0 0 0?

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However did we manage before calculators? Is there an efficient way to do a square root if you have to do the work yourself?

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The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

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Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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If a sum invested gains 10% each year how long before it has doubled its value?

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Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?

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An Excel spreadsheet with an investigation.

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Using an understanding that 1:2 and 2:3 were good ratios, start with a length and keep reducing it to 2/3 of itself. Each time that took the length under 1/2 they doubled it to get back within range.

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Use Excel to practise adding and subtracting fractions.

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Use Excel to explore multiplication of fractions.

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Use an interactive Excel spreadsheet to investigate factors and multiples.

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It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.

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What day of the week were you born on? Do you know? Here's a way to find out.

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Use an Excel spreadsheet to explore long multiplication.

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

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Can you make sense of information about trees in order to maximise the profits of a forestry company?

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

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A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?