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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 "Structured question: solve and check a quadratic equation"

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

Multiply matrices step by step #3

I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-

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Multiply matrices step by step #4

Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using

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Identify symmetric matrices practice

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Evaluate a 3x3 determinant by expansion #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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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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Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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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 the properties of the normal distribution curve

I am in SS 3. In your own words, explain the key properties of the normal distribution cur

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Quiz me on the symmetry of the normal distribution curve

I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu

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Explain when to use binomial versus Poisson

I am in SS 3. Explain the conditions under which I should use a binomial distribution vers

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Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

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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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Spot my mistake taking moments about a pivot

I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron

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Quiz me on equilibrium conditions

I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili

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Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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