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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,120 prompts matching "Writing a root as a fractional index before simplifying"

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

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Show All Working: The angle at which a body just begins to slide

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Common Mistakes: The work done against friction on an incline

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

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Practice: A car rounding a bend on a level road

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Explain Back: A car on a banked track

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Spot My Mistake: A body on the end of a string moving in a horizontal circle

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WAEC Prep: The conical pendulum

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Show All Working: A body in a vertical circle, and the tension at the top

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Common Mistakes: The condition for a body to complete a vertical circle

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

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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

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Spot My Mistake: The time taken to move between two points in simple harmonic motion

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

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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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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

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Spot my mistake: Applying the power rule to the integral of one over x

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

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Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing

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