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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 "Sum and product of roots of a cubic exam question"

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

Evaluate a 3x3 determinant by expansion #2

Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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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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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Show All Working: A three-set Venn diagram drawn from a subject survey

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se

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Show All Working: Solving a quadratic by completing the square

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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

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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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Show All Working: The rectangular hyperbola xy equals c squared

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

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Show All Working: Replacing two parallel forces by a single resultant

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

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Show All Working: The time at which two bodies are nearest one another

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

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Show All Working: The angle at which a body just begins to slide

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

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Show All Working: A mass on a spring performing simple harmonic motion

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

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Show All Working: The work done in stretching an elastic string

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the work d

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Inequality word problem with a real-life constraint

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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Evaluating a function at a given value

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

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