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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "A vector of magnitude one in three dimensions"

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

Divide a polynomial by a quadratic

Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de

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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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Teach me the truth table for negation

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation

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Teach me the truth table for conjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti

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Teach me the truth table for disjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti

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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 the why p implies q is true when p is false

Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f

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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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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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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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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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Quiz me on argument validity

Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre

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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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Teach me the universal and existential quantifiers

Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie

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Worked example: cyclic permutation around a table

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

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Teach me arithmetic progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Teach me geometric progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Quiz me on arithmetic and geometric progressions

Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome

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Teach me what a complex number is

Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin

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