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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,025 prompts matching "Mixed sequence exam question, arithmetic and geometric"

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Common Mistakes: Checking a completed square by expanding it again

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

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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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Final Revision: One root twice the other, and what that gives

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Common Mistakes: A symmetric function needing the sum and product twice over

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Worked Example: The discriminant used as the test for intersection

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Final Revision: A word problem about a line and a parabola

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Worked Example: The degree of a polynomial in one variable

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Quiz: The leading term and the constant term

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Worked Example: The division algorithm for polynomials

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Common Mistakes: The degree of the quotient and of the remainder

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Worked Example: The remainder on dividing by x minus 3

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Final Revision: A factor theorem question set in the WAEC style

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Common Mistakes: Factorising fully, and knowing when to stop

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Final Revision: Checking a factorisation by expanding it again

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Worked Example: How many roots a cubic equation has

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