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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,317 prompts matching "Why multiplying by the conjugate clears the surd"

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

Subtract two matrices, 3x3 #6

I am in SS 3. Give me a matrix problem where A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1

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Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

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Subtract two matrices, 3x3 #8

Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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WAEC past-question practice: matrices #3

I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Solve a three coplanar forces in equilibrium problem #3

I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a

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Vector addition, subtraction and magnitude #1

I am in SS 3. Give me a vector problem where a = 3i + 2j and b = -i + 5j, find a + b and a

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Vector addition, subtraction and magnitude #2

I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +

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Vector addition, subtraction and magnitude #3

I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a

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Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

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Vector addition, subtraction and magnitude #5

I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct

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Scalar (dot) and vector (cross) product practice #1

I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th

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Scalar (dot) and vector (cross) product practice #2

I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .

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Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

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Scalar (dot) and vector (cross) product practice #4

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Complex number arithmetic practice #4

I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th

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