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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Dividing a line segment in a given ratio"

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: the chain rule in calculus

I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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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: finding the matrix of cofactors and the adjugate

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma

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Worked example: finding the argument in the correct quadrant

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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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 finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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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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Spot my mistake finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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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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Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

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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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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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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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Final revision: my three hardest Further Maths topics

Ask me which three SS3 Further Mathematics topics I find hardest, then set me one focused

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Learn: The union of two sets written in set-builder notation

You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written

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