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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "determine whether the argument 'if p then q; p; therefore q' is valid using a tr"

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

Common Mistakes: Identifying a conic from a general second-degree equation

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Show All Working: A lift, and the person standing in it

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a lift, an

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Explain Back: The displacement written as x equals a sin omega t

I have just studied the displacement written as x equals a sin omega t in my SS3 Further M

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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WAEC Prep: Raising a 2 by 2 matrix to the third power

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m

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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition

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

Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through what Cramer's rule

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

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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Spot My Mistake: Why the inverse must be applied on the correct side

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WAEC Prep: When the matrix method is worth the work for three unknowns

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through when the matrix me

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