Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →844 prompts matching "Full worked exam-style problem combining gradient, distance and midpoint"
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 .
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I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x
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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 allPosition vectors and displacement between points #1
I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto
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I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v
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I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the
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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 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 #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 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 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 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
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