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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,000 prompts matching "A savings problem modelled by an arithmetic progression"

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Common Mistakes: Writing down the roots once the brackets are found

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Learn: Making the coefficient of x squared equal to one first

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Quiz: Completing the square on x squared plus 6x

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Spot My Mistake: Completing the square when the roots are not real

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Final Revision: Why completing the square always works

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

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Quiz: The value of one over alpha squared plus one over beta squared

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Practice: The value of alpha to the fourth plus beta to the fourth

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Spot My Mistake: The value of alpha over beta plus beta over alpha

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Learn: Making one unknown the subject of the linear equation

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Quiz: Solving the quadratic that results from the substitution

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Practice: Finding the matching value of the second unknown

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

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Final Revision: Checking both solutions in both equations

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Learn: Forming the quadratic that decides where a line meets a curve

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Quiz: The condition for two points of intersection

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