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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,321 prompts matching "Factorising fully, and knowing when to stop"

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

Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

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Scalar (dot) and vector (cross) product practice #4

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

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Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

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Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

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Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

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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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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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Worked example: finding the matrix of cofactors and the adjugate

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

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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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WAEC Further Mathematics: vectors and geometry combined question

I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors

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Learn: The multiplication and division laws of indices used together

You are my personal SS3 Further Mathematics tutor. Teach me the multiplication and divisio

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Learn: The meaning of n factorial, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n factorial, an

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Learn: The meaning of n choose r, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n choose r, and

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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

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Show All Working: The effect on the standard deviation of adding a constant to every value

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

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WAEC Prep: A car towing a trailer, and the force in the tow bar

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

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Learn: Resolving the weight along and perpendicular to an inclined plane

You are my personal SS3 Further Mathematics tutor. Teach me resolving the weight along and

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