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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The rate at which the height of a liquid rises in a cone"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Practice: Factorising a quadratic with a common factor taken out first

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Explain Back: The zero product rule, and why it works

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WAEC Prep: A quadratic with a repeated root

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Quiz: Completing the square on x squared plus 6x

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Explain Back: An answer left in surd form after completing the square

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Practice: Giving the roots correct to two decimal places

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Practice: Forming an equation from a given sum and product

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WAEC Prep: Checking the sum and product against the solved roots

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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Explain Back: Writing the answers as ordered pairs

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WAEC Prep: A pair that gives no real solution at all

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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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Explain Back: The condition for the line never to meet the curve

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Quiz: The leading term and the constant term

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WAEC Prep: Expressions that are not polynomials, and why not

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Worked Example: The division algorithm for polynomials

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Quiz: Dividing a quartic by a quadratic

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