October 2002, Stage 3&4

Problems

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LOGO Challenge 8 - Rhombi

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

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Remainder

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

What is the remainder when 2^2002 is divided by 7? What happens with different powers of 2?

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Oh for the Mathematics of Yesteryear

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45. . . .

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Shopping Basket

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A mathematician goes into a supermarket and buys four items. Using a calculator she multiplies the cost instead of adding them. How can her answer be the same as the total at the till?

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X Marks the Spot

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .

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Excel Technique: Using Paste Special to Lift a Copy of Values

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Excel Technique: Inserting an Increment Button

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Excel Technique: Making a Table for a Function of Two Independent

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Learn how to make a simple table using Excel.

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Excel Interactive Resource: Make a Copy

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Excel Investigation: Ring on a String

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

This investigation uses Excel to optimise a characteristic of interest.

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Diagonals for Area

Stage: 4 Challenge Level: Challenge Level:1

Prove that the area of a quadrilateral is given by half the product of the lengths of the diagonals multiplied by the sine of the angle between the diagonals.

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Number Rules - OK

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you convince me of each of the following: If a square number is multiplied by a square number the product is ALWAYS a square number...

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Back to Basics

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Find b where 3723(base 10) = 123(base b).