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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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971 prompts matching "Raising a complex number to a power by de Moivre's theorem"

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

Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

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Test me under exam conditions on vectors

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

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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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Worked example: standard deviation of a small data set

Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian

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Factorise x^2 + 5x + 6

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise x^2 - 7x + 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise x^2 + 2x - 15

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 2x^2 + 7x + 3

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Factorise 3x^2 - 5x - 2

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^

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Factorise 6x^2 + x - 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 6x^

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Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 4x^2 - 25

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^

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Factorise x^2 - x - 20

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 2x^2 - 11x + 5

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

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Worked example: dividing a cubic by a linear polynomial

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

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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Quiz me on identifying propositions

Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Worked example: proving a trigonometric identity

Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri

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