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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 product of a 2 by 2 matrix with the identity"

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 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 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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Give me practice identifying compound propositions

Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as

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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 in a truth table

Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu

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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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Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

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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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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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Worked example: proving a statement is a tautology

Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to

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Quiz me on tautologies

Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t

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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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Give me practice testing argument validity

Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each

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Spot my mistake testing an argument

Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth

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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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Worked example: choosing a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to

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Teach me arranging objects round a circle

You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl

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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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Quiz me on combinations where one member must be included

Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight

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