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Mathematics

AI prompts for senior secondary learners.

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757 prompts matching "A solid made of a cone standing on a cylinder (Show That / Hence Find)"

Quiz me: The vector joining two points, found from their position vectors

Act as my SS3 Mathematics tutor and quiz me on the vector joining two points, found from t

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Spot my mistake: Subtracting the position vectors in the wrong order

Act as my SS3 Mathematics tutor. Work a question on subtracting the position vectors in th

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Teach me: A translation described by a column vector

You are my personal SS3 Mathematics tutor. Teach me a translation described by a column ve

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Explain back: Why translation preserves both shape and size

I have just studied why translation preserves both shape and size in my SS3 Mathematics cl

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Spot my mistake: Adding the column vector to the wrong coordinate

Act as my SS3 Mathematics tutor. Work a question on adding the column vector to the wrong

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Worked example: Finding the translation that maps one shape onto another

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

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Teach me: Reflection and the mirror line

You are my personal SS3 Mathematics tutor. Teach me reflection and the mirror line, workin

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Teach me: Rotation, and its centre, angle and direction

You are my personal SS3 Mathematics tutor. Teach me rotation, and its centre, angle and di

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Spot my mistake: Rotating clockwise when the question says anticlockwise

Act as my SS3 Mathematics tutor. Work a question on rotating clockwise when the question s

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Explain back: What a fractional scale factor does to a shape

I have just studied what a fractional scale factor does to a shape in my SS3 Mathematics c

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Spot my mistake: Measuring the scale factor from the wrong centre

Act as my SS3 Mathematics tutor. Work a question on measuring the scale factor from the wr

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Spot my mistake: Forgetting to swap the leading diagonal when inverting

Act as my SS3 Mathematics tutor. Work a question on forgetting to swap the leading diagona

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Quiz me: Identifying the coefficient matrix and the constant matrix

Act as my SS3 Mathematics tutor and quiz me on identifying the coefficient matrix and the

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Spot my mistake: Multiplying by the inverse on the wrong side

Act as my SS3 Mathematics tutor. Work a question on multiplying by the inverse on the wron

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Teach me: Solving an equation by finding where two graphs meet

You are my personal SS3 Mathematics tutor. Teach me solving an equation by finding where t

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Explain back: Rearranging an equation so it can be solved from a drawn curve

I have just studied rearranging an equation so it can be solved from a drawn curve in my S

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Explain back: Shading the feasible region on a graph

I have just studied shading the feasible region on a graph in my SS3 Mathematics class. Le

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Teach me: Drawing a frequency polygon from a frequency table

You are my personal SS3 Mathematics tutor. Teach me drawing a frequency polygon from a fre

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Teach me: Mean deviation, and what it measures

You are my personal SS3 Mathematics tutor. Teach me mean deviation, and what it measures,

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Quiz me: Calculating the mean before finding the deviations

Act as my SS3 Mathematics tutor and quiz me on calculating the mean before finding the dev

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