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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"

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

Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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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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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Help me interpret my own WAEC Further Maths past mistakes

I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math

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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices

I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in

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Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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Explain Back: The determinant of a product as the product of the determinants

I have just studied the determinant of a product as the product of the determinants in my

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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

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Explain Back: What a coefficient determinant of nought says about the system

I have just studied what a coefficient determinant of nought says about the system in my S

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Practice: Turning a minor into a cofactor with the sign rule

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

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Explain Back: Writing out the full matrix of cofactors

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly

I have just studied finding the adjoint of a 2 by 2 matrix quickly in my SS3 Further Mathe

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