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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,325 prompts matching "Rationalising when both terms of the denominator are surds"

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WAEC Prep: The closest approach of two moving ships

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Common Mistakes: The relative displacement of two bodies after a given time

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Worked Example: The common acceleration of two connected particles

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Explain Back: The angle of friction, and the coefficient of friction

I have just studied the angle of friction, and the coefficient of friction in my SS3 Furth

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WAEC Prep: Limiting equilibrium, with a body on the point of sliding

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Worked Example: The acceleration of a body moving round a circle at constant speed

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Final Revision: The period and the frequency of circular motion

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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WAEC Prep: The simple pendulum as an example of simple harmonic motion

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Common Mistakes: The energy of a body in simple harmonic motion

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Common Mistakes: A particle oscillating on the end of an elastic string

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Quiz me on the symmetry of the normal distribution curve

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Explain the meaning of a probability distribution

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Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Explain the difference between differentiation and integration

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Domain of a simple algebraic function

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