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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,108 prompts matching "IGCSE Additional Maths Y11: Expanding one plus x, all to the power n — Worked Ex"

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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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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Common Mistakes: Showing that intersection distributes over union

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Common Mistakes: A binary operation defined by arithmetic modulo n

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WAEC Prep: Comparing the sizes of two surds without a calculator

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

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WAEC Prep: The change of base formula for logarithms

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

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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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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Common Mistakes: Three roots in geometric progression in a cubic

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WAEC Prep: Writing a solution set in interval notation

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