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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "A simultaneous pair in which the second equation is a circle"

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Final Revision: Solving a disguised quadratic by substitution

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Learn: Finding alpha squared plus beta squared from the sum and product

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Learn: The degree of a polynomial and its leading coefficient

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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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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Explain Back: Forming a cubic equation whose three roots are given

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Common Mistakes: Three roots in geometric progression in a cubic

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

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

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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WAEC Prep: The three forms of the double angle formula for cosine

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Learn: The shape, period and range of the sine curve

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WAEC Prep: Proving two given lines parallel from their gradients

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

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Practice: The equation of a circle on a given diameter

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WAEC Prep: The length of the tangent from an external point

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