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Further Mathematics

AI prompts for senior secondary learners.

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1,203 prompts matching "Why a conditional and its converse are not equivalent"

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

Worked Example: The area between a curve and the x-axis

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

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Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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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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Worked Example: The identities for one plus tan squared and one plus cot squared

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Quiz: The tangent curve and its asymptotes

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Practice: The ellipse in standard form, and its two axes

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

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Show that (1,2), (3,6), and (5,10) are collinear

I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,

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Compare WAEC and Cambridge phrasing for the same topic

I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question

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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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