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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Finding the inverse of a given element"

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

Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Worked Example: Finding a particular term of a binomial expansion

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

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Explain Back: Finding n and p from a given mean and variance

I have just studied finding n and p from a given mean and variance in my SS3 Further Mathe

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Worked Example: Finding a value from a given probability by working backwards

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

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WAEC Prep: Using a unit vector to write a force of given size

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through using a unit vecto

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Practice: A vector of stated magnitude in a given direction

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

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WAEC Prep: An arithmetic progression whose terms are given in terms of n

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through an arithmetic prog

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Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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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: Proving two given lines perpendicular from their gradients

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

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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WAEC exam question: the converse, the inverse and the contrapositive

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

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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WAEC Prep: Adding three matrices of the same order

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through adding three matri

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Quiz: Solving a matrix equation of the form A plus X equals B

Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo

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