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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Learn: The sum of the roots as minus b over a"

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 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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Quiz me on unit vectors

I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w

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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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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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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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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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Show all working: differentiation and stationary points question

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

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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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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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Practice under WAEC exam conditions

I am in SS 3. Give me a WAEC Further Mathematics style question, tell me to solve it under

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Explain-back: normal distribution properties

I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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