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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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376 prompts matching "Showing distributivity fails by a counter-example"

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WAEC Prep: Expanding a bracket by the binomial theorem

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: The remainder when a polynomial is divided by a quadratic

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WAEC Prep: Dividing a polynomial by a linear divisor by long division

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Quiz: The remainder theorem, and the remainder on dividing by x minus a

Act as my SS3 Further Mathematics tutor and quiz me on the remainder theorem, and the rema

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Worked example: differentiating using the quotient rule

I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi

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Worked example: finding the matrix of cofactors and the adjugate

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Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

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Worked example: finding the argument in the correct quadrant

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Worked Example: The intersection of two overlapping sets

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Common Mistakes: Showing that intersection distributes over union

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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Worked Example: Testing whether a binary operation is closed on a given set

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Worked Example: Collecting like surds in a single sum

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