Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →340 prompts matching "proving two statements are logically equivalent"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
WAEC past-question practice: vectors #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question on position vectors a
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 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 equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
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
Subscribe to unlock allIntegration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
Subscribe to unlock allIntegration practice question #4
I am in SS 3. Give me an integration problem where I must find the area under the curve y
Subscribe to unlock allExplain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Subscribe to unlock allSpot my mistake using the product rule
I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ
Subscribe to unlock allExplain-back: the chain rule in calculus
I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow
Subscribe to unlock allWorked example: 3x3 matrix multiplication
I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every
Subscribe to unlock allWorked example: differentiating using the quotient rule
I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi
Subscribe to unlock allSpot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
Subscribe to unlock allSpot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
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