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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 "Give me practice on the binomial theorem"

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Learn: The multiplication and division laws of indices used together

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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

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

Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r

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WAEC Prep: Forming an equation whose roots are each two more than the original

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

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Show All Working: Three roots in arithmetic progression in a cubic

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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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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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Learn: The meaning of n factorial, and how to evaluate it

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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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Explain Back: Arrangements in which two particular objects must stay together

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Learn: The meaning of n choose r, and how to evaluate it

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