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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,325 prompts matching "use matrices to solve the simultaneous equations 2x+y=8 and x-y=1"

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Final Revision: Sketching the graph of a logarithmic function

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

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

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

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

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

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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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Quiz: The product of the roots of a cubic

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

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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

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