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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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340 prompts matching "proving two statements are logically equivalent"

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

Explain Back: The equation of the line through two given points

I have just studied the equation of the line through two given points in my SS3 Further Ma

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Common Mistakes: The angle between two lines found from their gradients

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Learn: The parabola y squared equals 4ax, with its focus and directrix

You are my personal SS3 Further Mathematics tutor. Teach me the parabola y squared equals

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

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Show All Working: The rectangular hyperbola xy equals c squared

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the rectan

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Final Revision: The focus-directrix definition shared by all the conics

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Common Mistakes: The coefficient of variation, for comparing two sets

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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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Show All Working: Replacing two parallel forces by a single resultant

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

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WAEC Prep: The closest approach of two moving ships

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Common Mistakes: The relative displacement of two bodies after a given time

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Worked Example: The common acceleration of two connected particles

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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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Spot My Mistake: Two particles on a pulley at the top of an inclined plane

Act as my SS3 Further Mathematics tutor. Work a question on two particles on a pulley at t

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Spot My Mistake: The time taken to move between two points in simple harmonic motion

Act as my SS3 Further Mathematics tutor. Work a question on the time taken to move between

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WAEC Prep: Two elastic strings supporting one particle

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag

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Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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