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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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998 prompts matching "prove an argument invalid using a truth table"

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

Build a quadratic equation from given roots

Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a

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Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

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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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Spot my mistake in polynomial long division

Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long

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Teach me how to solve cubic equations

Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t

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Give me practice solving cubic equations

Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel

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Teach me logically equivalent propositions

Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit

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Quiz me on predicate logic statements

Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan

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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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Worked example: probability of selecting a committee

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

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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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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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Give me practice on the equation of a circle

Act as my SS2 Further Maths tutor. Give me six practice questions on finding or using the

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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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Worked example: finding the gradient of a curve at a point

Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly

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Give me practice on complex numbers

Act as my SS2 Further Maths tutor. Give me eight practice questions on complex numbers, in

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Teach me what a vector is

Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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