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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 "Show me how marks are awarded on a structured question"

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Worked Example: Forming the determinant Dy by replacing the second column

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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Quiz: Checking a 3 by 3 inverse by multiplication

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Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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Spot My Mistake: Why the inverse must be applied on the correct side

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Quiz: Solving three simultaneous equations with the inverse matrix

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Worked Example: Checking the solution of three equations by substitution

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Quiz: Why mass stays the same wherever the body is taken

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Worked Example: The weight of a body as mass times g

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Explain Back: The resultant of two forces acting in the same straight line

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Spot My Mistake: Compounding three forces acting at one point

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Worked Example: The direction of the resultant of two forces

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Quiz: Recovering the original force from its two components

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Explain Back: The forces acting on a body hanging from two strings

I have just studied the forces acting on a body hanging from two strings in my SS3 Further

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Worked Example: Using the sine rule on the triangle of forces

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Explain Back: Why the total moment about any point must be nought

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Worked Example: Drawing the polygon of forces to scale

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Quiz: The coefficient of friction between two surfaces

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