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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Finding the common ratio when the third and sixth terms are given"

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Final Revision: The power set, and how many subsets a set of n elements has

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

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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Common Mistakes: Solving an equation in which the unknown sits under a root

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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

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

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Learn: The sum and the product of the roots read from the coefficients

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

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Learn: The degree of a polynomial and its leading coefficient

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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

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Learn: The meaning of n factorial, and how to evaluate it

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Common Mistakes: Arrangements restricted at the first or the last place

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Learn: The meaning of n choose r, and how to evaluate it

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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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