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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "Learn: Telling a rational number from an irrational one"

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WAEC Prep: The number of elements in the union of two sets

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Show All Working: A three-set Venn diagram drawn from a subject survey

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Final Revision: The power set, and how many subsets a set of n elements has

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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Spot My Mistake: Finding the inverse of an element under a binary operation

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Final Revision: Deciding whether a set under an operation forms a group

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Learn: Simplifying a surd by extracting the largest perfect square

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

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Show All Working: Expressing a number in the form a root b

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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

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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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Worked Example: Finding one over alpha plus one over beta

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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WAEC Prep: Sketching a cubic from its factorised form

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

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