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Further Mathematics

AI prompts for senior secondary learners.

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1,223 prompts matching "Condition for two lines to be perpendicular"

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

Common Mistakes: The condition for a body to complete a vertical circle

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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Worked Example: The direction of the resultant of two forces

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Quiz: The gradient of the line through two points

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

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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: 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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Worked Example: Drawing the polygon of forces to scale

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Quiz: The coefficient of friction between two surfaces

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Worked Example: The moment of a force about a point on its own line of action

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Worked Example: The total moment of three parallel forces about one end

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

Act as my SS3 Further Mathematics tutor. Work a question on finding two unknown tensions f

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Worked Example: Matching each force to the sine of the angle opposite it

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Learn: Finding two unknown forces by Lami's theorem

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Learn: The probability that a normal variable lies between two values

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Quiz: Writing a two-dimensional vector as a column

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Spot My Mistake: Drawing a vector as a directed line segment

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