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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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76 prompts matching "complex numbers"

Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

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Worked Example: Squaring a complex number

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

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WAEC Prep: The conjugate of a complex number, and how it is written

Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conjug

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Quiz: The product of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor and quiz me on the product of a complex number and

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Practice: The sum of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum of a c

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Quiz: The argument of a complex number

Act as my SS3 Further Mathematics tutor and quiz me on the argument of a complex number. A

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Practice: The argument of a complex number in the second or third quadrant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the argument o

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WAEC Prep: The locus of a complex number equidistant from two points

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the locus of a com

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WAEC Prep: Plotting a complex number as a point on the Argand plane

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

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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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WAEC Prep: Converting a complex number from polar form into the form a plus bi using tables

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

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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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Practice: Converting a complex number from polar form back to a plus bi

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c

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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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WAEC Prep: The square roots of a complex number

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the square roots o

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WAEC Prep: The n nth roots of a complex number

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

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Quiz: The roots of a complex number shown on an Argand diagram

Act as my SS3 Further Mathematics tutor and quiz me on the roots of a complex number shown

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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