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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,019 prompts matching "A set closed under one operation but not another"

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

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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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 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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WAEC Further Mathematics: matrices in a real-world context

I am in SS 3. Give me a WAEC Further Mathematics style word problem that applies matrix op

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl

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Quiz: Multiplying two surds and simplifying the result

Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi

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Spot My Mistake: Squaring a bracket that contains a surd

Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai

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

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

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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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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Quiz: Solving an index equation by writing both sides to the same base

Act as my SS3 Further Mathematics tutor and quiz me on solving an index equation by writin

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Spot My Mistake: The power law of logarithms

Act as my SS3 Further Mathematics tutor. Work a question on the power law of logarithms wi

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WAEC Prep: The change of base formula for logarithms

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

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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

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Final Revision: Sketching the graph of a logarithmic function

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Quiz: Forming a quadratic equation whose roots are given

Act as my SS3 Further Mathematics tutor and quiz me on forming a quadratic equation whose

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r

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

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

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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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