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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 "A body in a vertical circle, and the tension at the top"

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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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

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

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

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Learn: The statement of the remainder theorem

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Show All Working: A remainder of nought, and what it means

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Final Revision: A word problem that uses the remainder theorem

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Worked Example: Testing a list of candidates to find a factor

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Show All Working: What the factor theorem says about the roots

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

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Practice: Factorising a quartic as the product of two quadratics

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Final Revision: Checking a factorisation by expanding it again

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

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Quiz: Disjunction and the inclusive or

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