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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,321 prompts matching "Reviewing all the laws of indices before a test"

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

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WAEC Prep: The number of elements in the union of two sets

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Worked Example: Testing whether a binary operation is closed on a given set

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Spot My Mistake: Finding the inverse of an element under a binary operation

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Show All Working: Solving an equation written in terms of a binary operation

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Show All Working: Expressing a number in the form a root b

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Spot My Mistake: The power law of logarithms

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WAEC Prep: The change of base formula for logarithms

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Worked Example: The discriminant, and what each of its three cases means

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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Show All Working: Solving a quadratic by completing the square

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Show All Working: Finding a coefficient given a stated relation between the roots

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Spot My Mistake: Showing the solution of an inequality on a number line

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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