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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Teach me conditions for a line and a curve to intersect"

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

Explain parallel and perpendicular vectors

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

Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

Modulus, argument and the Argand diagram #2

I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod

Modulus, argument and the Argand diagram #3

I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in

Modulus, argument and the Argand diagram #4

I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod

Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

Quiz me on modulus and argument of complex numbers

I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t

Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

Time management strategy for the WAEC Further Maths paper

I am in SS 3. Give me a time-management strategy for the WAEC Further Mathematics paper ba

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: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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

Show All Working: Counting the handshakes, or the lines joining n points

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

Show All Working: The intersection of a circle and a straight line

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

Worked Example: Relative velocity when two bodies move along the same line

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

Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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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