Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →866 prompts matching "proving a statement is a tautology"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve a three coplanar forces in equilibrium problem #2
I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two
Subscribe to unlock allQuiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
Subscribe to unlock allScalar (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
Subscribe to unlock allScalar (dot) and vector (cross) product practice #2
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 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 #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 #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 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 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 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 allKinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
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