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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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Practice: The argument of a complex number in the second or third quadrant

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Practice: The addition of complex numbers shown on an Argand diagram

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Explain Back: The locus of a complex number at a fixed distance from a point

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Learn: The cube roots of unity

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Quiz: The roots of a complex number shown on an Argand diagram

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Practice: Why complex roots of a real quadratic come in conjugate pairs

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Explain Back: Forming a quadratic equation with given complex roots

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Learn: Differentiating sin of a multiple of x

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Explain Back: The constant of integration, and why it appears

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Quiz: Why the power rule fails for the integral of one over x

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Learn: Connected rates of change through the chain rule

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Quiz: A rate of change problem about a vessel filling with water

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Quiz: Choosing which equation of motion to use

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Quiz: The time of flight of a projectile

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Practice: The range of a projectile on level ground

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Practice: The conservation of momentum in a collision

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Quiz: Newton's third law, and identifying the pair of forces

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Learn: The kinetic energy of a moving body

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Spot My Mistake: The sum of the first n terms of an arithmetic progression

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Explain Back: The sum of the first n terms of a geometric progression

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