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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,125 prompts matching "Coordinate geometry involving a right-angle condition to find x"

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

Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

Act as my SS3 Further Mathematics tutor. Work a question on drawing the triangle of forces

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WAEC Prep: Finding the angle between two vectors from their dot product

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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Give me a past-paper style question bank for coordinate geometry

I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina

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WAEC Prep: Showing a triangle is right-angled using the dot product

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through showing a triangle

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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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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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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 an exam formula sheet for coordinate geometry

I am in SS 3. Build me a short formula sheet covering every formula I need for lines and c

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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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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WAEC Prep: A table of components used to find a resultant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a table of compone

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WAEC Prep: The triangle of forces used together with the cosine rule

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the triangle of fo

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