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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "The zero product rule, and why it works"

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Show All Working: Counting the handshakes, or the lines joining n points

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on counting t

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The shape, period and range of the cosine curve

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Quiz: The tangent curve and its asymptotes

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Show All Working: The intersection of a circle and a straight line

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Final Revision: A ladder leaning against a wall, and the moments acting on it

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: Relative velocity when two bodies move along the same line

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Quiz: The centripetal force, and what supplies it in a given situation

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Show All Working: A body in a vertical circle, and the tension at the top

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

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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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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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

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