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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

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

Explain Back: The dot product of two perpendicular vectors

I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema

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Practice: Deciding whether a point lies on a given line

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

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Explain Back: The resultant of forces given as vectors

I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics

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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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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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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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Practice: Why complex roots of a real quadratic come in conjugate pairs

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro

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Practice: Differentiating x squared from first principles

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

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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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Practice: A body thrown vertically upwards

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown

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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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Practice: The range of a projectile on level ground

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

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Practice: The conservation of momentum in a collision

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

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Practice: The middle term when the power is odd

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter

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Practice: The rank correlation coefficient

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the rank corre

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Add two matrices, 2x2 #3

I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have

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Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

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