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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 remainder 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: The elastic potential energy stored in a stretched string

I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu

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Spot My Mistake: A particle hanging in equilibrium on an elastic string

Act as my SS3 Further Mathematics tutor. Work a question on a particle hanging in equilibr

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WAEC Prep: Two elastic strings supporting one particle

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

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Spot my mistake: Treating any vector with small components as a unit vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled

Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute

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Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing

Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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Teach me equilibrium of forces from scratch

I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus 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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Multiply matrices step by step #4

Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using

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Evaluate a 2x2 determinant #3

Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad

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