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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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231 prompts matching "A binary operation defined by arithmetic modulo n"

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

Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Explain polynomial addition back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po

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Teach me long division of polynomials

Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of

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Give me practice on polynomial long division

Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials

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Spot my mistake in polynomial long division

Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long

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Teach me how to solve cubic equations

Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t

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Worked example: solving x^3-6x^2+11x-6=0

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

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Quiz me on identifying propositions

Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id

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Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Quiz me on when a conjunction of three statements is true

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Quiz me on the inclusive sense of 'or' in a disjunction

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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Teach me logically equivalent propositions

Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit

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Worked example: applying predicate logic to solve a problem

Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical

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Quiz me on predicate logic statements

Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan

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Spot my mistake in a permutation problem

Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used

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Spot my mistake in a combination problem

Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi

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Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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Teach me how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

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