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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "Forming an algebraic expression from a word problem"

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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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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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Common Mistakes: Solving an exponential equation using logarithms

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

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Learn: The degree of a polynomial and its leading coefficient

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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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Spot My Mistake: The relations between roots and coefficients for a quartic

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

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

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

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Worked Example: The number of arrangements of n different objects in a row

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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

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Final Revision: Counting the number plates or codes that can be formed under a rule

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