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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

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

Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Composite functions gf(x)

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

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Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

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Show that command word: stationary point classification

I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a

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Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

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Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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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 the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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WAEC exam question: sequences applied to loan repayment

I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e

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Quiz: Finding an unknown entry from a stated matrix equation

Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta

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

Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by

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WAEC Prep: A table of components used to find a resultant

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

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

Act as my SS3 Further Mathematics tutor. Work a question on drawing the triangle of forces

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Spot My Mistake: Using concurrence to find the direction of an unknown third force

Act as my SS3 Further Mathematics tutor. Work a question on using concurrence to find the

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

Act as my SS3 Further Mathematics tutor. Work a question on finding two unknown tensions f

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Learn: Finding two unknown forces by Lami's theorem

You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by

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Learn: Finding the coefficient of a stated power in an expansion

You are my personal SS3 Further Mathematics tutor. Teach me finding the coefficient of a s

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Learn: Finding lambda from a stated mean

You are my personal SS3 Further Mathematics tutor. Teach me finding lambda from a stated m

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WAEC Prep: The dot product used to find the work done by a force

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the dot product us

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