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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 "Quiz me on the factorising a cubic with the factor theorem"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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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: differentiating using the quotient rule

I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi

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Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

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Spot my mistake in a Poisson probability calculation

I am in SS 3. I calculated a Poisson probability but I'm not confident about my factorial

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Show all working: calculus and stationary points multi-part

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

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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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Practice: The difference of two sets, A minus B

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference

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Common Mistakes: Showing that intersection distributes over union

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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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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Show All Working: Solving an equation written in terms of a binary operation

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an

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

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing

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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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet

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Explain Back: The laws of logarithms for a product and for a quotient

I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt

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Common Mistakes: Solving an exponential equation using logarithms

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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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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Show All Working: Solving a quadratic by completing the square

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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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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