April 2003, Stage 4&5

Problems

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Squaring the Circle and Circling the Square

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

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

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The Root of the Problem

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

Find the sum of the series.

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Staircase

Stage: 5 Challenge Level: Challenge Level:1

Solving the equation x^3 = 3 is easy but what about solving equations with a 'staircase' of powers?