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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 "Reporting an area computed below the x-axis as a negative distance travelled"

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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

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Common Mistakes: Roots that are reciprocals of one another

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

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

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Worked Example: Substituting into the quadratic and tidying up

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Show All Working: A simultaneous pair in which the second equation is a circle

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Practice: The condition for the line to be a tangent

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Spot My Mistake: Finding the values of c for which a line is a tangent

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

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Quiz: The leading term and the constant term

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