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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "Adding two surds that simplify to the same root"

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Common Mistakes: The angle between two lines found from their gradients

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Common Mistakes: The condition for a line to be a tangent to a circle

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Practice: The ellipse in standard form, and its two axes

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Common Mistakes: The coefficient of variation, for comparing two sets

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Quiz: Relative velocity when the two motions are at right angles

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Show All Working: The time at which two bodies are nearest one another

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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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Quiz: The tension in the string joining two connected particles

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

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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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Spot my mistake: Assuming AB and BA give the same matrix

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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: Treating the kilogram and the kilogram weight as the same unit

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Structured question: converse, inverse, and contrapositive together

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Show that a geometric series converges and find its sum to infinity

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Give me an exam formula sheet for the factor theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the factor

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