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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 "Factorising the sum and difference of two cubes"

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

Solve a friction and forces of equilibrium problem #1

I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi

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Teach me the suvat equations of motion

I am in SS 3. Teach me the five suvat equations of motion, when to use each one, and one w

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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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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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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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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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Spot My Mistake: Finding the inverse of an element under a binary operation

Act as my SS3 Further Mathematics tutor. Work a question on finding the inverse of an elem

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Practice: Rationalising a denominator of the form root a

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

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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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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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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

Act as my SS3 Further Mathematics tutor. Work a question on the factor theorem for a divis

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Quiz: The product of the roots of a cubic

Act as my SS3 Further Mathematics tutor and quiz me on the product of the roots of a cubic

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Spot My Mistake: Showing the solution of an inequality on a number line

Act as my SS3 Further Mathematics tutor. Work a question on showing the solution of an ine

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Common Mistakes: The range of values of x for which an expression stays positive

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

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