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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 "An element with no inverse under a given operation"

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

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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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Structured question: circle and line with an unknown intercept

I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno

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Quiz: The area under the normal curve, and what it represents

Act as my SS3 Further Mathematics tutor and quiz me on the area under the normal curve, an

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Final Revision: Deciding whether a set under an operation forms a group

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

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

I have just studied finding an unknown coefficient given that a stated factor divides the

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Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

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Give me an exam formula sheet for polynomial operations

I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub

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Worked Example: A singular matrix, and why it has no inverse

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

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WAEC Prep: The determinant of a matrix with a row of noughts

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

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WAEC Prep: The inverse of a 2 by 2 matrix with a fractional determinant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the inverse of a 2

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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Quiz: Solving three simultaneous equations with the inverse matrix

Act as my SS3 Further Mathematics tutor and quiz me on solving three simultaneous equation

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WAEC Prep: Comparing the mean with the variance of a binomial distribution

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through comparing the mean

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

Act as my SS3 Further Mathematics tutor. Work a question on the proportion of a normal dis

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WAEC Prep: The standard normal distribution, with mean nought and variance one

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

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Common Mistakes: Solving an equation in which the unknown sits under a root

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Practice: Solving an inequality with the unknown in the denominator

Act as my SS3 Further Mathematics tutor. Give me five practice questions on solving an ine

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Worked Example: The equation of a circle with a given centre and radius

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

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with

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