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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Which form of the sum formula to use when r is less than one"

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: normal distribution properties

I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Worked example: binomial distribution problem

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Spot my mistake integrating a polynomial

I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o

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Spot my mistake solving a moments problem

I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp

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Show all working: mixed matrices and determinants exam question

I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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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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Common Mistakes: Showing that intersection distributes over union

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Quiz: Testing a binary operation for commutativity

Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm

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Practice: Testing a binary operation for associativity

Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Spot My Mistake: Squaring a bracket that contains a surd

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Common Mistakes: Solving an exponential equation using logarithms

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

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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