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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "Finding the equation of a circle from its centre and radius"

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

Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

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Worked Example: The quotient rule for differentiation

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the qu

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Learn: Choosing between the product rule and the quotient rule

You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r

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Spot My Mistake: Classifying a stationary point by the second derivative

Act as my SS3 Further Mathematics tutor. Work a question on classifying a stationary point

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

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ar

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Explain Back: The greatest height reached by a body thrown upwards

I have just studied the greatest height reached by a body thrown upwards in my SS3 Further

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Scalar multiplication of a matrix #1

I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a

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Scalar multiplication of a matrix #2

Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip

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Scalar multiplication of a matrix #3

Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att

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Scalar multiplication of a matrix #5

I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],

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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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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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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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Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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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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