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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 "Quiz: The direction of a vector as an angle with the x-axis"

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

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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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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Spot my mistake solving a cubic equation

Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t

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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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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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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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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 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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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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Give me practice on probability using combinatorics

Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Spot my mistake finding a specific term

Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e

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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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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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Explain logarithm laws back to me

Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an

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