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Mathematics

AI prompts for senior secondary learners.

📝 2 Mathematics practice tests with answers →📅 36-Week WAEC Study Guide for Mathematics →
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754 prompts matching "Teach me (Cambridge style): A cone problem needing both volume and surface area"

Spot my mistake: Reading the gradient off the curve instead of off the derivative

Act as my SS3 Mathematics tutor. Work a question on reading the gradient off the curve ins

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Worked example: Finding the equation of a tangent at a point

Act as my SS3 Mathematics tutor. Take me through one full worked example on finding the eq

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WAEC pitfalls: Substituting into the original function instead of the derivative

Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on substit

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Practice set: Finding where a curve has a given gradient

Act as my SS3 Mathematics tutor. Give me five practice questions on finding where a curve

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Explain back: The second derivative test for a maximum or a minimum

I have just studied the second derivative test for a maximum or a minimum in my SS3 Mathem

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Spot my mistake: Calling every stationary point a maximum

Act as my SS3 Mathematics tutor. Work a question on calling every stationary point a maxim

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Worked example: Sketching a cubic using its stationary points

Act as my SS3 Mathematics tutor. Take me through one full worked example on sketching a cu

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WAEC pitfalls: Omitting to test the nature of a stationary point

Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on omittin

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Practice set: Finding the maximum value a function reaches

Act as my SS3 Mathematics tutor. Give me five practice questions on finding the maximum va

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Explain back: The chain rule connecting two related rates

I have just studied the chain rule connecting two related rates in my SS3 Mathematics clas

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Spot my mistake: Differentiating with respect to the wrong variable

Act as my SS3 Mathematics tutor. Work a question on differentiating with respect to the wr

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WAEC pitfalls: Substituting the numbers before differentiating

Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on substit

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Practice set: Practice on two rates of change linked by a chain rule

Act as my SS3 Mathematics tutor. Give me five practice questions on practice on two rates

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Explain back: Why the constant of integration is needed

I have just studied why the constant of integration is needed in my SS3 Mathematics class.

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Spot my mistake: Forgetting the constant of integration in an indefinite integral

Act as my SS3 Mathematics tutor. Work a question on forgetting the constant of integration

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Worked example: Integrating a polynomial term by term

Act as my SS3 Mathematics tutor. Take me through one full worked example on integrating a

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WAEC pitfalls: Dividing by the original index instead of the new one

Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on dividin

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Practice set: Integrating expressions with negative and fractional indices

Act as my SS3 Mathematics tutor. Give me five practice questions on integrating expression

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Explain back: Why the constant of integration cancels in a definite integral

I have just studied why the constant of integration cancels in a definite integral in my S

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Spot my mistake: Subtracting the limits in the wrong order

Act as my SS3 Mathematics tutor. Work a question on subtracting the limits in the wrong or

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