Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,331 prompts matching "Structured question: find f^-1(x) and verify it"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Scalar (dot) and vector (cross) product practice #1
I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th
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I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .
Subscribe to unlock allScalar (dot) and vector (cross) product practice #3
I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x
Subscribe to unlock allScalar (dot) and vector (cross) product practice #4
I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be
Subscribe to unlock allExplain the difference between scalar and vector product
I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros
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 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 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 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 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 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 #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 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 allWAEC past-question practice: calculus #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on differentiation using th
Subscribe to unlock allWAEC past-question practice: calculus #4
I am in SS 3. Test me with a timed WAEC-style calculus question, give it to me cold, then
Subscribe to unlock allSpot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
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