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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Why the index laws need the bases to match"

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

Explain Back: The elastic potential energy stored in a stretched string

I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu

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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of

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Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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Spot my mistake: Applying the power rule to the integral of one over x

Act as my SS3 Further Mathematics tutor. Write a short answer on applying the power rule t

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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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Non-calculator paper: simplify an index expression

I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Show that command word: logarithm laws

I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit

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Give me an exam formula sheet for quadratic factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for factorising

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Give me an exam formula sheet for solving quadratics by factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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Worked Example: A singular matrix, and why it has no inverse

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

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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