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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,034 prompts matching "Showing a set is not closed by a single counter-example"

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

Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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WAEC Further Mathematics: calculus optimisation word problem

I am in SS 3. Give me a WAEC Further Mathematics style optimisation word problem, such as

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Final revision: my three hardest Further Maths topics

Ask me which three SS3 Further Mathematics topics I find hardest, then set me one focused

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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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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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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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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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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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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Practice: Factorising a cubic completely once one factor is known

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

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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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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Final Revision: Checking that the roots found satisfy the original equation

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Final Revision: The perpendicular distance from a point to a line

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: The interquartile range of a set of ordered data

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