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Further Mathematics

AI prompts for senior secondary learners.

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1,320 prompts matching "Explaining why a^1/n means the nth root of a"

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Learn: The meaning of n factorial, and how to evaluate it

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Learn: The meaning of n choose r, and how to evaluate it

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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Learn: Hooke's law, and what the modulus of elasticity means

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Give me an exam formula sheet for sum and product of roots

I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro

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Give me a past-paper style question bank for sum and product of roots

I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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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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Worked Example: The associative law for the product of three matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as

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

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Learn: The effect on a determinant of swapping two rows

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The units of mass, and the SI unit

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