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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 "A binary operation defined on the integers"

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

Learn: Probability as favourable outcomes over total outcomes

You are my personal SS2 Further Mathematics tutor. Teach me probability as favourable outc

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Explain Back: Probability with replacement and without replacement

I have just studied probability with replacement and without replacement in my SS2 Further

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Learn: Building Pascal's triangle row by row

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Spot My Mistake: Expanding a bracket with a minus sign inside it

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Worked example: factorising a harder trinomial

Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati

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Spot my mistake with sum and product of roots

Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5

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Worked example: adding two polynomials

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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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Worked example: proving a statement is a tautology

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Give me practice testing argument validity

Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each

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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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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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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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Teach me what a matrix is

Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its

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Spot my mistake finding a matrix inverse

Act as my SS2 Further Maths tutor. I found the inverse of a 2x2 matrix but I think I made

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Explain matrices back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to multiply matrices a

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Spot my mistake finding a vector's magnitude

Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma

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Worked example: simplify (3+2i) + (1-5i)

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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