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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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749 prompts matching "Show that command word: quadratic factorisation"

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

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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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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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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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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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

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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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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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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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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 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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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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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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WAEC past-question practice: complex numbers #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question requiring me to solve

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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Quiz me on rates of change problems

I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a

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Quiz me on kinematics equations of motion

I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th

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