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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The length of the tangent from an external point"

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 collecting like terms across two polynomials

You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno

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Worked example: adding two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials

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Quiz me on subtracting a polynomial written in a bracket

Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in

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Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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Worked example: dividing a cubic by a linear polynomial

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

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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Explain polynomial long division back to me

Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back

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Teach me what a proposition is

Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an

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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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Worked example: truth table for a compound statement

Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth

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Spot my mistake forming a converse

Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement

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Worked example: proving two statements are logically equivalent

Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo

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Quiz me on biconditional statements

Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each

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Give me practice on logical equivalence

Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me

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Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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Teach me conditionals versus tautologies

Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement

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Teach me what a logical argument is

Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo

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Explain argument validity back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi

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Teach me predicate logic basics

Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what

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