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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,305 prompts matching "Surds that cannot be combined at all"

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Quiz: Solving AX equals B and XA equals B by different routes

Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B

Practice: The condition on the orders for a product to exist

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Learn: The effect on a determinant of swapping two rows

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Explain Back: The determinant of a product as the product of the determinants

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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Spot My Mistake: Forming the determinant Dx by replacing the first column

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

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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Practice: Turning a minor into a cofactor with the sign rule

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

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Quiz: Checking an inverse by multiplying to get the identity

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Worked Example: The units of mass, and the SI unit

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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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Learn: Converting a weight given in kilogram-force into newtons

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

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Worked Example: The direction of the resultant of two forces

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Learn: The resultant of two perpendicular forces

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Quiz: Recovering the original force from its two components

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Practice: Choosing the most convenient pair of directions to resolve along

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