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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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772 prompts matching "Testing a*b against b*a for a given rule"

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

Practice: A vector of stated magnitude in a given direction

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a vector of st

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Quiz: The vector equation of the line through two given points

Act as my SS3 Further Mathematics tutor and quiz me on the vector equation of the line thr

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Practice: Deciding whether a point lies on a given line

Act as my SS3 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Learn: Choosing between the product rule and the quotient rule

You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r

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Spot My Mistake: Finding the constant of integration from a given point

Act as my SS3 Further Mathematics tutor. Work a question on finding the constant of integr

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Learn: Connected rates of change through the chain rule

You are my personal SS3 Further Mathematics tutor. Teach me connected rates of change thro

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Spot My Mistake: Finding the common ratio from two given terms

Act as my SS3 Further Mathematics tutor. Work a question on finding the common ratio from

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Solve a three coplanar forces in equilibrium problem #3

I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: the chain rule in calculus

I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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