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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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730 prompts matching "How many roots a cubic equation has"

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 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 #2

I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two

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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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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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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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Quiz me on unit vectors

I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w

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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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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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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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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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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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WAEC past-question practice: mechanics #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on the equations of motion,

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Explain WAEC Further Mathematics marking scheme style

I am in SS 3. Explain how WAEC typically awards method marks versus accuracy marks in Furt

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Last-minute WAEC Further Mathematics formula check

I am in SS 3. Quiz me rapid-fire on key Further Mathematics formulas I need to remember fo

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WAEC Further Mathematics command words explained

I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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