Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,313 prompts matching "IGCSE Additional Maths Y11: The CAST rule — Worked Example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
Subscribe to unlock allTeach 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
Subscribe to unlock allSpot 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
Subscribe to unlock allQuiz 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
Subscribe to unlock allExplain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
Subscribe to unlock allWAEC past-question practice: vectors #2
I am in SS 3. Set me a WAEC-style question on the scalar product of two vectors and the an
Subscribe to unlock allWAEC 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
Subscribe to unlock allComplex number arithmetic practice #1
I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1
Subscribe to unlock allComplex number arithmetic practice #2
I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x
Subscribe to unlock allComplex number arithmetic practice #3
I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)
Subscribe to unlock allComplex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Subscribe to unlock allComplex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Subscribe to unlock allSolve a quadratic equation with complex roots #1
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c
Subscribe to unlock allSolve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
Subscribe to unlock allSolve a quadratic equation with complex roots #3
I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0
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 allWAEC past-question practice: complex numbers #2
I am in SS 3. Set me a WAEC-style question on finding the modulus and argument of a comple
Subscribe to unlock allWAEC past-question practice: complex numbers #4
I am in SS 3. Test me with a timed WAEC-style complex numbers question, give it to me cold
Subscribe to unlock allIntegration practice question #1
I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +
Subscribe to unlock allIntegration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
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