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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,010 prompts matching "Subsets of a given set"

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

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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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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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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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 #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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WAEC past-question practice: inverse matrices #2

I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Solve a three coplanar forces in equilibrium problem #1

I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin

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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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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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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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WAEC past-question practice: vectors #2

I am in SS 3. Set me a WAEC-style question on the scalar product of two vectors and the an

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WAEC past-question practice: complex numbers #2

I am in SS 3. Set me a WAEC-style question on finding the modulus and argument of a comple

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Time management strategy for the WAEC Further Maths paper

I am in SS 3. Give me a time-management strategy for the WAEC Further Mathematics paper ba

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Diagnose my exam readiness for WAEC Further Maths

I am in SS 3. Ask me a set of questions covering matrices, vectors, calculus and mechanics

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Common Mistakes: Showing that intersection distributes over union

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Common Mistakes: A binary operation defined by arithmetic modulo n

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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