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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Learn: Why a surd is never left in the denominator"

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Worked Example: The moment of a force about a point on its own line of action

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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Worked Example: Matching each force to the sine of the angle opposite it

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Spot My Mistake: When Lami's theorem may be used, and when it may not

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Spot My Mistake: Drawing a vector as a directed line segment

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Worked Example: Finding the unit vector in the direction of a given vector

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Spot My Mistake: The vector from A to B as the difference of two position vectors

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Worked Example: The position vector of the midpoint of AB

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Practice: The dot product as the magnitudes times the cosine of the angle

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Practice: Deciding whether a point lies on a given line

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Practice: The argument of a complex number in the second or third quadrant

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

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Worked Example: Power as the rate of doing work

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

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Worked Example: Finding the first term and the common difference from two given terms

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Practice: The sum to infinity of a convergent geometric series

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Spot my mistake finding a vector magnitude

I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an

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