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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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558 prompts matching "Locus problem: points equidistant from two fixed points"

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

Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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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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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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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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Practice: The difference of two sets, A minus B

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

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Quiz: Multiplying two surds and simplifying the result

Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi

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Practice: Finding the third root of a cubic when two are known

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

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Practice: The equation of a line through a point with a given gradient

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

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Practice: The ellipse in standard form, and its two axes

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

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Practice: A uniform beam resting on two supports

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a uniform beam

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Quiz: Relative velocity when the two motions are at right angles

Act as my SS3 Further Mathematics tutor and quiz me on relative velocity when the two moti

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Quiz: The tension in the string joining two connected particles

Act as my SS3 Further Mathematics tutor and quiz me on the tension in the string joining t

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Inequality word problem with a real-life constraint

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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