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Further Mathematics

AI prompts for senior secondary learners.

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1,045 prompts matching "Applying the power rule to the integral of one over x"

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 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 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 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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Quiz me on the testing two statements for logical equivalence

Act as my SS2 Further Mathematics tutor and quiz me on testing two statements for logical

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Worked example: converse and inverse of a statement

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

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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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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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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 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: arranging letters of a word

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

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Worked example: probability of selecting a committee

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

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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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Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

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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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WAEC question on the binomial theorem

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on th

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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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Spot my mistake checking a logarithmic solution against the domain

Act as my SS2 Further Mathematics tutor. Work a question on checking a logarithmic solutio

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Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

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