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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.

Practice: Equating real and imaginary parts to find two unknowns

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

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Worked Example: Squaring a complex number

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Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

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

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Worked Example: The area between a curve and the x-axis

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Practice: The sign convention for displacement, velocity and acceleration

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Learn: Newton's second law written as F equals ma

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Worked Example: Power as the rate of doing work

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Worked Example: Finding the first term and the common difference from two given terms

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Spot My Mistake: Partial fractions with an irreducible quadratic factor

Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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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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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Find the resultant of two forces #1

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

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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 two forces #3

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

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Find the resultant of two forces #4

I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as

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Find the resultant of two forces #5

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

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