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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 "An indicial equation with the unknown in the exponent on both sides"

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 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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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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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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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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Use the normal distribution function to find a probability #1

I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5

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Use the normal distribution function to find a probability #2

I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation

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Use the normal distribution function to find a probability #3

I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8

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Use the normal distribution function to find a probability #4

I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1

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Spot my mistake in standardising a normal variable

I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf

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Show all working: combined binomial and normal question

I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia

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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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Show all working: moments and equilibrium question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question combinin

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Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

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Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

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Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

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Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

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Modulus, argument and the Argand diagram #2

I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod

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Modulus, argument and the Argand diagram #3

I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in

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