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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 "Classifying a mixed list of numbers as rational or irrational"

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

Worked example: using the factor theorem to factorise a cubic

Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor

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Give me practice factorising polynomials with the factor theorem

Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t

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Spot my mistake using the remainder theorem

Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I

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Worked example: solving x^3-6x^2+11x-6=0

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

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Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

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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 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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Worked example: truth table for a compound statement

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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

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Worked example: proving a statement is a tautology

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Worked example: testing an argument for validity

Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic

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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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Worked example: applying predicate logic to solve a problem

Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical

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Quiz me on arrangements when some of the objects are alike

Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec

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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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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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

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