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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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878 prompts matching "Checking a root of a cubic by substitution"

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

Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Spot my mistake finding a vector magnitude

I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an

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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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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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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 #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 #4

I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th

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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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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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Integration practice question #1

I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +

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Integration practice question #2

I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi

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Integration practice question #3

I am in SS 3. Give me an integration problem where I must find the definite integral of x^

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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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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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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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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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