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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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1,315 prompts matching "Structured question: divide a cubic and state quotient and remainder"

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

Integration practice question #1

I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +

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Integration practice question #2

I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi

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Integration practice question #3

I am in SS 3. Give me an integration problem where I must find the definite integral of x^

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Integration practice question #4

I am in SS 3. Give me an integration problem where I must find the area under the curve y

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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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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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WAEC past-question practice: calculus #4

I am in SS 3. Test me with a timed WAEC-style calculus question, give it to me cold, then

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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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Spot my mistake in a projectile motion question

I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr

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Show all working: the range and the greatest height of a projectile

I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest

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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 #4

I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then

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Mixed-topic WAEC Further Mathematics past-question set

I am in SS 3. Give me a mixed set of five short WAEC Further Mathematics past-question sty

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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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Worked example: differentiating using the quotient rule

I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi

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Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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Timed drill: five quick Further Maths WAEC-style questions

I am in SS 3. Give me five quick WAEC-style Further Mathematics questions from five differ

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