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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 "Quiz: Rationalising a denominator of the form one over root 3"

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Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

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Explain Back: Differentiating one over x from first principles

I have just studied differentiating one over x from first principles in my SS3 Further Mat

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Explain Back: The constant of integration, and why it appears

I have just studied the constant of integration, and why it appears in my SS3 Further Math

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Spot My Mistake: Finding the constant of integration from a given point

Act as my SS3 Further Mathematics tutor. Work a question on finding the constant of integr

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Quiz: Using the initial conditions to fix the constants in a kinematics problem

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Learn: Connected rates of change through the chain rule

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Quiz: Impulse as the change in momentum

Act as my SS3 Further Mathematics tutor and quiz me on impulse as the change in momentum.

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Worked Example: Power as the rate of doing work

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Learn: The kinetic energy of a moving body

You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving

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Spot My Mistake: The sum of the first n terms of an arithmetic progression

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Quiz: The remainder theorem, and the remainder on dividing by x minus a

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Learn: The median of a set of ordered data

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Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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Quiz me on units of force

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Quiz me on modulus and argument of complex numbers

I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t

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