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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 "Why root 8 and root 2 turn out to be similar"

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

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Quiz: Forming a quadratic equation whose roots are given

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

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

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Learn: The sum of the roots of a cubic read from its coefficients

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

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Worked Example: The shape, period and range of the cosine curve

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Worked Example: The equation of a circle with a given centre and radius

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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What a function is and function notation

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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