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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,322 prompts matching "Practice: The conjunction of two propositions"

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 complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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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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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 finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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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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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: 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 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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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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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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Common Mistakes: Showing that intersection distributes over union

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Common Mistakes: A binary operation defined by arithmetic modulo n

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Common Mistakes: Solving an exponential equation using logarithms

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Common Mistakes: Proving that a quadratic expression is positive for every real x

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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