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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "The logarithm of one, in any base"

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

Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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

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Explain Back: The constant of integration, and why it appears

I have just studied the constant of integration, and why it appears in my SS3 Further Math

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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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WAEC Prep: The horizontal and vertical components of a projectile's velocity

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Practice: The conservation of momentum in a collision

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

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Quiz: Newton's third law, and identifying the pair of forces

Act as my SS3 Further Mathematics tutor and quiz me on Newton's third law, and identifying

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Worked Example: Power as the rate of doing work

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Learn: The kinetic energy of a moving body

You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Practice: The sum to infinity of a convergent geometric series

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Quiz: The general term of a binomial expansion

Act as my SS3 Further Mathematics tutor and quiz me on the general term of a binomial expa

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WAEC Prep: The effect of one extra value on the mean

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the effect of one

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Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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Find the transpose of a 3x3 matrix

I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows

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Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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Find the resultant of two forces #2

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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