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Further Mathematics

AI prompts for senior secondary learners.

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1,321 prompts matching "Factorising fully, and knowing when to stop"

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

Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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

You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr

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Spot My Mistake: When Lami's theorem may be used, and when it may not

Act as my SS3 Further Mathematics tutor. Work a question on when Lami's theorem may be use

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Quiz: Newton's third law, and identifying the pair of forces

Act as my SS3 Further Mathematics tutor and quiz me on Newton's third law, and identifying

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WAEC Prep: Why the sum to infinity fails when the ratio reaches one

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the sum to inf

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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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Practice: Factorising a cubic completely once one factor is known

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

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Quiz: The tangent curve and its asymptotes

Act as my SS3 Further Mathematics tutor and quiz me on the tangent curve and its asymptote

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag

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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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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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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

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