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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "A binary operation defined on a set of three elements"

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

Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

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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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Quiz me on rates of change problems

I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a

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Kinematics: equations of motion practice #1

I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in

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Kinematics: equations of motion practice #2

I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15

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Kinematics: equations of motion practice #3

I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a

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Kinematics: equations of motion practice #4

I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i

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Kinematics: equations of motion practice #5

I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,

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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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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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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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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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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Learn: The multiplication and division laws of indices used together

You are my personal SS3 Further Mathematics tutor. Teach me the multiplication and divisio

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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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Explain Back: Forming a cubic equation whose three roots are given

I have just studied forming a cubic equation whose three roots are given in my SS3 Further

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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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WAEC Prep: Writing a solution set in interval notation

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

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Practice: Solving an equation of the form sin of 2x equals a given value

Act as my SS3 Further Mathematics tutor. Give me five practice questions on solving an equ

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