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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,210 prompts matching "why a line tangent to a curve gives equal roots"

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 #1

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

Scalar (dot) and vector (cross) product practice #2

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

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

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

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

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

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

Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

Spot my mistake finding a vector magnitude

I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an

Quiz me on unit vectors

I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w

Show all working: vector geometry question

I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p

Explain parallel and perpendicular vectors

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

Vectors and simple geometry proof

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

WAEC past-question practice: vectors #1

I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on vector add

WAEC past-question practice: vectors #3

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

WAEC past-question practice: vectors #4

I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m

Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

Mixed-topic WAEC Further Mathematics past-question set

I am in SS 3. Give me a mixed set of five short WAEC Further Mathematics past-question sty

Explain how to present working for full WAEC marks

I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i

Explain-back: why matrix multiplication order matters

I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices

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