Making and Testing Hypotheses - July 2008, Stage 4&5

Problems

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Ishango Bone

Stage: 2, 3, 4 and 5 Short Challenge Level: Challenge Level:1

Can you decode the mysterious markings on this ancient bone tool?

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Snow and Cholera

Stage: 4 Challenge Level: Challenge Level:1

What information helped medical pioneers decide on the cause of a disease? Especially in a time before microscopes were as powerful as they are today ?

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Counting Fish

Stage: 4 Challenge Level: Challenge Level:1

I need a figure for the fish population in a lake, how does it help to catch and mark 40 fish ?

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Babylon Numbers

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

Can you make a hypothesis to explain these ancient numbers?

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Quads

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

The circumcentres of four triangles are joined to form a quadrilateral. What do you notice about this quadrilateral as the dynamic image changes? Can you prove your conjecture?

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Reaction Timer Timer

Stage: 5 Challenge Level: Challenge Level:1

How can you time the reaction timer?

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Least of All

Stage: 5 Challenge Level: Challenge Level:1

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

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Spot the Difference

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

If you plot these graphs they may look the same, but are they?

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Pattern Recognition

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

When does a pattern start to exhibit structure? Can you crack the code used by the computer?