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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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730 prompts matching "How many roots a cubic equation has"

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

Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

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Evaluate a 3x3 determinant by expansion #2

Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi

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Evaluate a 3x3 determinant by expansion #3

I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua

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Evaluate a 3x3 determinant by expansion #4

I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat

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Spot my mistake in a determinant expansion

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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WAEC past-question practice: determinants #2

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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WAEC past-question practice: determinants #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul

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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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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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Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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WAEC past-question practice: inverse matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a

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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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Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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Teach me composition of coplanar forces

I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr

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Explain standard deviation and the normal curve

I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Spot my mistake in a binomial probability question

I am in SS 3. I calculated P(X=3) for a binomial distribution but I think I used the wrong

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Explain the polygon of forces

I am in SS 3. Explain what the polygon of forces method is and how it shows several concur

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Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

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