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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 "Beads on a necklace, and why the count halves"

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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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Quiz: The factor theorem, and testing whether x minus a is a factor

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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

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Spot My Mistake: Showing the solution of an inequality on a number line

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Common Mistakes: The range of values of x for which an expression stays positive

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

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Practice: Solving an equation of the form sin of 2x equals a given value

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Common Mistakes: Giving the general solution of a trigonometric equation

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

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

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Quiz: The tangent curve and its asymptotes

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