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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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908 prompts matching "Using sets to test simple logical statements"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

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Spot My Mistake: Completing the square when the roots are not real

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Common Mistakes: Checking a completed square by expanding it again

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Learn: Deriving the quadratic formula by completing the square

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Quiz: A negative value of b in the quadratic formula

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Spot My Mistake: What the formula gives when the discriminant is nought

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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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Practice: Forming an equation from a given sum and product

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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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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Quiz: The value of one over alpha squared plus one over beta squared

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Spot My Mistake: The value of alpha over beta plus beta over alpha

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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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Spot My Mistake: A pair with equal roots, meaning one solution only

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