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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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930 prompts matching "Practice: Differentiating sin x and cos x"

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 argument validity

Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre

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Spot my mistake testing an argument

Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth

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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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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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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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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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Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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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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Worked example: solving a quadratic trigonometric equation

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

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Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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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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Teach me measures of dispersion for grouped data

Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio

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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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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

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Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

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