Randomness - June 2008, Stage 4&5

Problems

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Which Spinners?

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

Can you work out which spinners were used to generate the frequency charts?

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Distribution Differences

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

How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?

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Introducing Distributions

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

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

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Coin Lines

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

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

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The Monte Carlo Method

Stage: 5 Challenge Level: Challenge Level:1

Estimate areas using random grids

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Data Matching

Stage: 5 Challenge Level: Challenge Level:1

Use your skill and judgement to match the sets of random data.

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Random Squares

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

What is a random pattern?

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Scale Invariance

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

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

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Random Inequalities

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

Can you build a distribution with the maximum theoretical spread?