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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,008 prompts matching "Using change of base to prove a stated relation"

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: 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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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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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: 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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Teach me the number of arrangements of n distinct objects

You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc

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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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Explain combinatorial probability back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit

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Worked example: finding the middle term of a binomial expansion

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

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Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Quiz me on Reading a binomial coefficient off Pascal's triangle

Act as my SS2 Further Mathematics tutor and quiz me on reading a binomial coefficient off

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Teach me the laws of indices at Further Maths level

Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu

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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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Teach me rationalising the denominator

Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a

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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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Teach me the laws of logarithms

Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,

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Teach me the equation of a straight line

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi

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Teach me the equation of a circle

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its

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Explain coordinate geometry back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o

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