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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 "Substituting into the quadratic and tidying up"

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: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut

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Learn: Converting a weight given in kilogram-force into newtons

You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k

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Explain Back: A probability distribution table for a discrete random variable

I have just studied a probability distribution table for a discrete random variable in my

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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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WAEC Prep: Solving a quadratic whose discriminant is negative

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

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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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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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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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WAEC Prep: Substituting a convenient value to find one constant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through substituting a con

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Spot My Mistake: Partial fractions with an irreducible quadratic factor

Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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Find the inverse of a 2x2 matrix #4

Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ

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Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Find the resultant of two forces #2

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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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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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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