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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,093 prompts matching "When to use permutations versus combinations"

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Worked Example: Collecting like surds in a single sum

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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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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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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

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

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Final Revision: Solving a disguised quadratic by substitution

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Worked Example: Finding one over alpha plus one over beta

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

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Explain Back: Finding alpha squared beta plus alpha beta squared

I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M

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

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Worked Example: Evaluating a polynomial by substitution

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

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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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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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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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Solving an inequality that involves a modulus

I have just studied solving an inequality that involves a modulus in my SS3 Further Mathem

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