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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Spot the examiner's trick in a factorisation question"

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Quiz: The product of a complex number and its conjugate

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Practice: The sum of a complex number and its conjugate

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Quiz: The argument of a complex number

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

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Quiz: Writing a complex number in polar form

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Practice: Converting a complex number from polar form back to a plus bi

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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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Practice: Differentiating x squared from first principles

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Explain Back: Differentiating one over x from first principles

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Practice: Differentiating sin x and cos x

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Explain Back: Differentiating tan x

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Worked Example: The quotient rule for differentiation

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Worked Example: Differentiating a bracket raised to a power

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Learn: Differentiating sin of a multiple of x

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Learn: Integrating a polynomial term by term

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Worked Example: The area between a curve and the x-axis

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Learn: Finding displacement by integrating velocity

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