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Further Mathematics

AI prompts for senior secondary learners.

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1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"

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

Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Practice: Finding a remainder without carrying out the division

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema

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Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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What a function is and function notation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

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Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

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Spot My Mistake: When Lami's theorem may be used, and when it may not

Act as my SS3 Further Mathematics tutor. Work a question on when Lami's theorem may be use

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WAEC Prep: Comparing the mean with the variance of a binomial distribution

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through comparing the mean

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Practice: The variance of a binomial distribution as npq

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the variance o

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

Act as my SS3 Further Mathematics tutor. Work a question on the proportion of a normal dis

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WAEC Prep: The standard normal distribution, with mean nought and variance one

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Quiz: The direction of a vector as an angle with the x-axis

Act as my SS3 Further Mathematics tutor and quiz me on the direction of a vector as an ang

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Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

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Practice: The sign convention for displacement, velocity and acceleration

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign conve

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