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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,016 prompts matching "An element with no inverse under a given operation"

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

Explain biconditional and equivalence back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between a biconditional sta

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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 the universal and existential quantifiers

Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie

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Give me practice with predicate logic

Act as my SS2 Further Maths tutor. Give me five practice problems that require translating

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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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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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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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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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Quiz me on arranging objects round a circle when two must sit together

Act as my SS2 Further Mathematics tutor and quiz me on arranging objects round a circle wh

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Teach me probability using permutations and combinations

Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut

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Quiz me on probability with combinations

Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com

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Teach me Writing out Pascal's triangle row by row

You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro

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Give me practice on the binomial theorem

Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria

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Explain the binomial theorem back to me

Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to

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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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Give me practice on indices and surds

Act as my SS2 Further Maths tutor. Give me eight practice questions mixing laws of indices

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

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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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Teach me the basic trigonometric identities

Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including

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