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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 of an arithmetic series given the first and last term"

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

Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant

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Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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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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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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Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

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Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

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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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Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

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Give me an exam formula sheet for sequences and series

I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic

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Give me a past-paper style question bank for sequences and series

I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog

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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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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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Practice: The parallelogram law of forces

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

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Practice: Choosing the most convenient pair of directions to resolve along

Act as my SS3 Further Mathematics tutor. Give me five practice questions on choosing the m

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Practice: Why the forces must sum to nought in two perpendicular directions

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why the forces

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Practice: The probability of at least one success

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

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Practice: The probability of exactly r events in a Poisson distribution

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

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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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