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Further Mathematics

AI prompts for senior secondary learners.

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897 prompts matching "Survey word problem using a two-set Venn diagram"

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: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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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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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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Learn: Solving two simultaneous equations by Cramer's rule

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WAEC Prep: Setting out Cramer's rule for three simultaneous equations

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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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Spot My Mistake: The greatest and the least resultant of two given forces

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Quiz: Recovering the original force from its two components

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Learn: A space diagram and a force diagram drawn side by side

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Practice: Why the forces must sum to nought in two perpendicular directions

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Quiz: The coefficient of friction between two surfaces

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Quiz: The point about which the total moment of a set of forces vanishes

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Spot My Mistake: Using concurrence to find the direction of an unknown third force

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Practice: Resolving three forces in two perpendicular directions

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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Learn: Finding two unknown forces by Lami's theorem

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Practice: Using a binomial expansion to approximate a number

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

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