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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain line-curve intersection conditions back to me"

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

Worked Example: The midpoint formula applied to a given segment

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the mi

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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Explain Back: The eccentricity of an ellipse

I have just studied the eccentricity of an ellipse in my SS3 Further Mathematics class. Le

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Explain Back: The variance of an ungrouped set of data

I have just studied the variance of an ungrouped set of data in my SS3 Further Mathematics

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Explain Back: Finding the reaction at each support of a loaded beam

I have just studied finding the reaction at each support of a loaded beam in my SS3 Furthe

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Worked Example: Relative velocity when two bodies move along the same line

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on relati

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Explain Back: The angle of friction, and the coefficient of friction

I have just studied the angle of friction, and the coefficient of friction in my SS3 Furth

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Explain Back: A car on a banked track

I have just studied a car on a banked track in my SS3 Further Mathematics class. Let me ex

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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WAEC exam question: two unknowns from remainder and factor conditions

I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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Give me a past-paper style question bank for quadratic factorisation

I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi

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Give me a past-paper style question bank for solving quadratics by factorisation

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b

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Give me a past-paper style question bank for the factor theorem

I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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Give me a mixed revision pack blending three topics

I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua

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Practice: The condition on the orders for a product to exist

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition

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