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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Test me under exam conditions on measures of dispersion"

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

Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Structured question: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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Structured question: logic puzzle solved with a truth table

I am in SS 3. Give me a short logic puzzle involving two or three statements about people

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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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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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Quiz: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

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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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Quiz: Multiplying a matrix by minus one

Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.

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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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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Quiz: The zero matrix, and how it differs from nought in arithmetic

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs

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Practice: A diagonal matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Quiz: Finding an unknown entry from a stated matrix equation

Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

Act as my SS3 Further Mathematics tutor and quiz me on expanding a 3 by 3 determinant alon

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Quiz: Checking a 3 by 3 inverse by multiplication

Act as my SS3 Further Mathematics tutor and quiz me on checking a 3 by 3 inverse by multip

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Spot My Mistake: Why the inverse must be applied on the correct side

Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie

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Practice: What a singular coefficient matrix says about the equations

Act as my SS3 Further Mathematics tutor. Give me five practice questions on what a singula

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