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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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861 prompts matching "Explain why a complex number times its conjugate is real"

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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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Explain differentiation back to me

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

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Worked example: solving a quadratic with complex roots

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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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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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Explain standard deviation back to me

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Test me under exam conditions on measures of dispersion

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on me

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Real-life application of measures of dispersion

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where measur

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Quiz: Factorising a difference of two squares in order to solve it

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WAEC Prep: What the formula gives when the discriminant is negative

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Worked Example: The discriminant used as the test for intersection

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Worked Example: The division algorithm for polynomials

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WAEC Prep: The remainder theorem checked against long division

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Worked Example: Testing a list of candidates to find a factor

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