Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,009 prompts matching "Using a unit vector to write a force of given size"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Subscribe to unlock allWorked example: differentiate y = (2x-1)(x+3) after expanding it first
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Subscribe to unlock allWorked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Subscribe to unlock allHence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Subscribe to unlock allCambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Subscribe to unlock allStructured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Subscribe to unlock allQuiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Subscribe to unlock allCambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Subscribe to unlock allStructured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Subscribe to unlock allStructured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
Subscribe to unlock allTeach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Subscribe to unlock allCommon Mistakes: Writing down the roots once the brackets are found
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri
Subscribe to unlock allCommon Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
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