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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,314 prompts matching "expand (x+2)^5 fully using the binomial theorem"

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

Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

Act as my SS3 Further Mathematics tutor. Work a question on deriving a multiple angle form

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WAEC Prep: Simplifying the answer after using the quotient rule

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through simplifying the an

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Quiz: Using the initial conditions to fix the constants in a kinematics problem

Act as my SS3 Further Mathematics tutor and quiz me on using the initial conditions to fix

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WAEC Prep: Expanding a bracket raised to the power six

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through expanding a bracke

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Quiz: The general term of a binomial expansion

Act as my SS3 Further Mathematics tutor and quiz me on the general term of a binomial expa

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Quiz: The remainder theorem, and the remainder on dividing by x minus a

Act as my SS3 Further Mathematics tutor and quiz me on the remainder theorem, and the rema

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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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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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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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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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WAEC Prep: The standard deviation of grouped data using an assumed mean

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 the rth term of a binomial expansion as the one carrying the rth power

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the rth term of

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the variance of

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Find the inverse of a 3x3 matrix using cofactors #1

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

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Find the inverse of a 3x3 matrix using cofactors #2

I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through

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Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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