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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "A line and a curve meeting once without the line being a tangent"

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

Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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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 #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 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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Show All Working: Expressing a number in the form a root b

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

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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

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Show All Working: Solving a quadratic by completing the square

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

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Show All Working: Finding a coefficient given a stated relation between the roots

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

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Practice: Factorising a cubic completely once one factor is known

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

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Show All Working: Arrangements of the letters of a given word

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

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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

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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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Show All Working: The time at which two bodies are nearest one another

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

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