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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 "Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2"

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

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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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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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 #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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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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Explain how to present working for full WAEC marks

I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

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Spot my mistake integrating a polynomial

I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o

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Spot my mistake solving a moments problem

I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp

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Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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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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Worked Example: Collecting like surds in a single sum

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec

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