Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →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
Subscribe to unlock allModulus, 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
Subscribe to unlock allModulus, 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
Subscribe to unlock allModulus, 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
Subscribe to unlock allModulus, 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
Subscribe to unlock allTeach 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
Subscribe to unlock allQuiz 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
Subscribe to unlock allExplain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Subscribe to unlock allTime 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
Subscribe to unlock allExplain 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
Subscribe to unlock allExplain-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
Subscribe to unlock allWorked 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
Subscribe to unlock allQuiz 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
Subscribe to unlock allExplain 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
Subscribe to unlock allWAEC 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
Subscribe to unlock allShow 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
Subscribe to unlock allShow 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
Subscribe to unlock allWorked 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
Subscribe to unlock allShow 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
Subscribe to unlock allStructured 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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