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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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

Learn: Converting a weight given in kilogram-force into newtons

You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

Act as my SS3 Further Mathematics tutor. Work a question on drawing the triangle of forces

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WAEC Prep: Why friction is called a self-adjusting force

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why friction is ca

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

Act as my SS3 Further Mathematics tutor. Work a question on using concurrence to find the

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Worked Example: Finding the unit vector in the direction of a given vector

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Worked Example: The position vector of the midpoint of AB

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

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Worked Example: The triangle law of vector addition

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

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Spot My Mistake: The equilibrium condition written in vector form

Act as my SS3 Further Mathematics tutor. Work a question on the equilibrium condition writ

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Practice: Converting a complex number from polar form back to a plus bi

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c

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Worked Example: Differentiating a bracket raised to a power

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Quiz: Why the power rule fails for the integral of one over x

Act as my SS3 Further Mathematics tutor and quiz me on why the power rule fails for the in

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Show all working: vector geometry question

I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p

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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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Practice: Rationalising a denominator of the form root a

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

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Practice: The condition for a quadratic equation to have equal roots

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

Act as my SS3 Further Mathematics tutor. Work a question on the factor theorem for a divis

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Spot My Mistake: The least force needed to move a body up a rough incline

Act as my SS3 Further Mathematics tutor. Work a question on the least force needed to move

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