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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain trigonometric identities back to me"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Give me a past-paper style question bank for the factor theorem

I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f

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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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

Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut

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Quiz: Checking an inverse by multiplying to get the identity

Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying

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Worked Example: The total moment of three parallel forces about one end

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

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Practice: Converting a complex number from polar form back to a plus bi

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c

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WAEC Prep: Differentiating a sum of a polynomial and a trigonometric term

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through differentiating a

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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Explain when to use binomial versus Poisson

I am in SS 3. Explain the conditions under which I should use a binomial distribution vers

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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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Explain how to present working for full WAEC marks

I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked Example: The midpoint formula applied to a given segment

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

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Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

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

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