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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,155 prompts matching "IGCSE Additional Maths Y11: How much working a 'show that' question needs — Work"

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Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

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Quiz: Writing a complex number in polar form

Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

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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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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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Explain Back: Differentiating one over x from first principles

I have just studied differentiating one over x from first principles in my SS3 Further Mat

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Explain Back: Differentiating tan x

I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl

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Worked Example: The quotient rule for differentiation

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

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Worked Example: Differentiating a bracket raised to a power

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

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Spot My Mistake: Classifying a stationary point by the second derivative

Act as my SS3 Further Mathematics tutor. Work a question on classifying a stationary point

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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

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Explain Back: The constant of integration, and why it appears

I have just studied the constant of integration, and why it appears in my SS3 Further Math

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Spot My Mistake: Finding the constant of integration from a given point

Act as my SS3 Further Mathematics tutor. Work a question on finding the constant of integr

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Quiz: Why the power rule fails for the integral of one over x

Act as my SS3 Further Mathematics tutor and quiz me on why the power rule fails for the in

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Worked Example: The area between a curve and the x-axis

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

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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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Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

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Quiz: Choosing which equation of motion to use

Act as my SS3 Further Mathematics tutor and quiz me on choosing which equation of motion t

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Explain Back: The greatest height reached by a body thrown upwards

I have just studied the greatest height reached by a body thrown upwards in my SS3 Further

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Quiz: The time of flight of a projectile

Act as my SS3 Further Mathematics tutor and quiz me on the time of flight of a projectile.

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