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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,322 prompts matching "Proving the sum formula for a geometric progression"

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

Practice: The middle term when the power is odd

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

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Quiz: The remainder theorem, and the remainder on dividing by x minus a

Act as my SS3 Further Mathematics tutor and quiz me on the remainder theorem, and the rema

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Practice: Finding a remainder without carrying out the division

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema

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Learn: The median of a set of ordered data

You are my personal SS3 Further Mathematics tutor. Teach me the median of a set of ordered

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Quiz: The modal class of a grouped frequency distribution

Act as my SS3 Further Mathematics tutor and quiz me on the modal class of a grouped freque

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Practice: The rank correlation coefficient

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

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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Find the inverse of a 2x2 matrix #1

Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi

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Find the inverse of a 2x2 matrix #4

Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ

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Find the inverse of a 2x2 matrix #5

Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi

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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 the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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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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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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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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Quiz me on units of force

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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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 #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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