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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 particle hanging from two strings set at different angles"

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WAEC Prep: A quadratic with a repeated root

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Practice: Working through a quadratic by completing the square, step by step

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Learn: Deriving the quadratic formula by completing the square

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

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Quiz: A negative value of b in the quadratic formula

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WAEC Prep: What the formula gives when the discriminant is negative

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

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Quiz: Finding the sum and the product without solving the equation

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Common Mistakes: Roots that are reciprocals of one another

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Learn: What makes an expression in the roots symmetric

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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

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

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

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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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