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Further Mathematics

AI prompts for senior secondary learners.

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1,043 prompts matching "Why the sum to infinity fails when the ratio reaches one"

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

Teach me the completing the square when the coefficient of x squared is one

You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici

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Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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Quiz me on the using the discriminant to describe the roots

Act as my SS2 Further Mathematics tutor and quiz me on using the discriminant to describe

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Teach me writing the sum and product of the roots from the coefficients

You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root

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Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

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Explain sum and product of roots back to me

Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back

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Quiz me on the factorising a cubic with the factor theorem

Act as my SS2 Further Mathematics tutor and quiz me on factorising a cubic with the factor

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Teach me how to determine the validity of an argument

Act as my SS2 Further Maths tutor. Teach me how to determine whether a logical argument is

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Quiz me on arrangements when some of the objects are alike

Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec

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When to use permutations versus combinations

Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh

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Worked example: rationalising a binomial surd denominator

Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the

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Teach me dividing complex numbers by rationalising with the conjugate

You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi

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Summarise the binomial theorem for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise vectors for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Give me common mistakes students make in polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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