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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,170 prompts matching "Practice: Testing a set for closure under multiplication"

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Learn: The multiplication and division laws of indices used together

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Explain Back: The laws of logarithms for a product and for a quotient

I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt

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WAEC Prep: The change of base formula for logarithms

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Practice: Finding alpha minus beta from the sum and the product

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha

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

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Practice: Factorising a cubic completely once one factor is known

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WAEC Prep: Sketching a cubic from its factorised form

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Practice: Finding the third root of a cubic when two are known

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Explain Back: Forming a cubic equation whose three roots are given

I have just studied forming a cubic equation whose three roots are given in my SS3 Further

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Practice: Solving an inequality with the unknown in the denominator

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Common Mistakes: The range of values of x for which an expression stays positive

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Practice: Arrangements when some of the objects are identical

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Practice: Choosing a committee that must contain one particular person

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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