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Further Mathematics

AI prompts for senior secondary learners.

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1,322 prompts matching "Why the logarithm of a negative number does not exist"

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

Quiz: The number of arrangements of r objects chosen from n

Act as my SS3 Further Mathematics tutor and quiz me on the number of arrangements of r obj

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Learn: The velocity of one body relative to another

You are my personal SS3 Further Mathematics tutor. Teach me the velocity of one body relat

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Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

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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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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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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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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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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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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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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

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Learn: The component of a force along a stated direction

You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along

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Learn: The algebraic sum of moments when the senses differ

You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w

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Learn: The expectation of a discrete random variable

You are my personal SS3 Further Mathematics tutor. Teach me the expectation of a discrete

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Learn: Finding the coefficient of a stated power in an expansion

You are my personal SS3 Further Mathematics tutor. Teach me finding the coefficient of a s

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Learn: The standard deviation of a binomial distribution

You are my personal SS3 Further Mathematics tutor. Teach me the standard deviation of a bi

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Learn: The mean, median and mode of a normal distribution

You are my personal SS3 Further Mathematics tutor. Teach me the mean, median and mode of a

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Learn: The coordinates of a point in three dimensions

You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in

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