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Further Mathematics

AI prompts for senior secondary learners.

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1,318 prompts matching "Learn: The statement of the factor theorem"

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

Spot my mistake: Treating the rth term of a binomial expansion as the one carrying the rth power

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the rth term of

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

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

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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: Leaving out the constant of integration when velocity is found from acceleration

Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant

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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

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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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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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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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Learn: Choosing the point about which to take moments

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Learn: The probability that a normal variable lies between two values

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Learn: The unit vectors i, j and k

You are my personal SS3 Further Mathematics tutor. Teach me the unit vectors i, j and k, w

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Learn: Subtracting one vector from another

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Learn: Choosing between the product rule and the quotient rule

You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r

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Learn: An area lying below the x-axis, and its sign

You are my personal SS3 Further Mathematics tutor. Teach me an area lying below the x-axis

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