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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,108 prompts matching "Using sets to test simple logical statements"

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

Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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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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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Explain Back: Writing out the full matrix of cofactors

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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Spot My Mistake: The greatest and the least resultant of two given forces

Act as my SS3 Further Mathematics tutor. Work a question on the greatest and the least res

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Worked Example: Using the sine rule on the triangle of forces

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

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Explain Back: Why the total moment about any point must be nought

I have just studied why the total moment about any point must be nought in my SS3 Further

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Practice: Limiting friction, and the greatest value it can reach

Act as my SS3 Further Mathematics tutor. Give me five practice questions on limiting frict

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Explain Back: The units of a moment, and why they are newton metres

I have just studied the units of a moment, and why they are newton metres in my SS3 Furthe

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Explain Back: Testing whether data are Poisson by comparing mean and variance

I have just studied testing whether data are Poisson by comparing mean and variance in my

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Explain Back: Converting a value to a z-score

I have just studied converting a value to a z-score in my SS3 Further Mathematics class. L

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Practice: Using the normal tables when the z-score is negative

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

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Explain Back: The dot product of two perpendicular vectors

I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema

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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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Explain Back: The resultant of forces given as vectors

I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics

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Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

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