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Five equations... five unknowns... can you solve the system?

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By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

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Irrational Arithmagons

Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?

Mega Quadratic Equations

Stage: 5 Challenge Level: Challenge Level:1

Do you know any values of $a$ and $b$ that satisfy $a^b=1$?