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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 "Finding where a line crosses the x-axis and y-axis"

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Worked Example: Halving the coefficient of x and squaring it

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

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

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

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Learn: Making one unknown the subject of the linear equation

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Worked Example: Substituting into the quadratic and tidying up

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Practice: Finding the matching value of the second unknown

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Practice: The condition for the line to be a tangent

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

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Learn: Setting out the division of a cubic by a linear expression

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

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Spot My Mistake: Finding the remaining roots once one is known

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WAEC Prep: The relation between the roots and the constant term

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WAEC Prep: The symbols used for and, or and not

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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WAEC Prep: Beads on a necklace, and why the count halves

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