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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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683 prompts matching "Structured question: three linked function sub-questions"

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Common Mistakes: Checking a completed square by expanding it again

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Learn: Deriving the quadratic formula by completing the square

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Quiz: A negative value of b in the quadratic formula

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Practice: Giving the roots correct to two decimal places

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Explain Back: Leaving the roots of a quadratic in surd form

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Spot My Mistake: What the formula gives when the discriminant is nought

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WAEC Prep: What the formula gives when the discriminant is negative

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Learn: The sum of the roots as minus b over a

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Worked Example: The product of the roots as c over a

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Quiz: Finding the sum and the product without solving the equation

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Practice: Forming an equation from a given sum and product

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Explain Back: Finding a missing coefficient from a stated sum of roots

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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

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Show All Working: Roots equal in magnitude but opposite in sign

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Common Mistakes: Roots that are reciprocals of one another

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Learn: What makes an expression in the roots symmetric

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

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