Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,322 prompts matching "Practice: Working through a quadratic by completing the square, step by step"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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 allVectors and simple geometry proof
I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera
Subscribe to unlock allExplain 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
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 equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allFind and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Subscribe to unlock allFind and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Subscribe to unlock allFind and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
Subscribe to unlock allQuiz me on rates of change problems
I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a
Subscribe to unlock allExplain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Subscribe to unlock allProjectile motion problem #1
I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3
Subscribe to unlock allProjectile motion problem #2
I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s
Subscribe to unlock allProjectile motion problem #3
I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60
Subscribe to unlock allProjectile motion problem #4
I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a
Subscribe to unlock allQuiz me on kinematics equations of motion
I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th
Subscribe to unlock allExplain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Subscribe to unlock allExplain-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
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
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