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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Checking an inverse by working the operation both ways"

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

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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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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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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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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WAEC past-question practice: calculus #2

I am in SS 3. Set me a WAEC-style integration question exactly the way past papers phrase

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Kinematics: equations of motion practice #1

I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in

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Kinematics: equations of motion practice #2

I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15

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Kinematics: equations of motion practice #3

I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a

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Kinematics: equations of motion practice #4

I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i

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Kinematics: equations of motion practice #5

I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,

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Spot my mistake in a projectile motion question

I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr

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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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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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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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Spot my mistake finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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Practice: Factorising a cubic completely once one factor is known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a

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Practice: Choosing a committee that must contain one particular person

Act as my SS3 Further Mathematics tutor. Give me five practice questions on choosing a com

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