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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,051 prompts matching "Roots that are reciprocals of one another"

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

Vector addition, subtraction and magnitude #2

I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +

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Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

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Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

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Show all working: vector geometry question

I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p

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WAEC past-question practice: vectors #2

I am in SS 3. Set me a WAEC-style question on the scalar product of two vectors and the an

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

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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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Show all working: complex number equation question

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so

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WAEC past-question practice: complex numbers #2

I am in SS 3. Set me a WAEC-style question on finding the modulus and argument of a comple

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WAEC past-question practice: complex numbers #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question requiring me to solve

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WAEC past-question practice: complex numbers #4

I am in SS 3. Test me with a timed WAEC-style complex numbers question, give it to me cold

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Integration practice question #4

I am in SS 3. Give me an integration problem where I must find the area under the curve y

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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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