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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "The logarithm of one, in any base"

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

Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Show all working: the range and the greatest height of a projectile

I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest

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Worked example: finding the matrix of cofactors and the adjugate

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

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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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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Learn: The union of two sets written in set-builder notation

You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written

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Worked Example: The intersection of two overlapping sets

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

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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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Practice: The difference of two sets, A minus B

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

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Explain Back: The symmetric difference of two sets

I have just studied the symmetric difference of two sets in my SS3 Further Mathematics cla

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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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Explain Back: Finding the identity element of a binary operation

I have just studied finding the identity element of a binary operation in my SS3 Further M

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Spot My Mistake: Finding the inverse of an element under a binary operation

Act as my SS3 Further Mathematics tutor. Work a question on finding the inverse of an elem

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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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Quiz: Solving an index equation by writing both sides to the same base

Act as my SS3 Further Mathematics tutor and quiz me on solving an index equation by writin

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Worked Example: The discriminant, and what each of its three cases means

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

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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