Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,322 prompts matching "Why the logarithm of a negative number does not exist"
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Worked Example: The tension in a stretched elastic string
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Subscribe to unlock allPractice: The difference between an elastic string and a spring in compression
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Subscribe to unlock allExplain Back: The elastic potential energy stored in a stretched string
I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu
Subscribe to unlock allSpot my mistake: Assuming AB and BA give the same matrix
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Subscribe to unlock allSpot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
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Subscribe to unlock allSpot my mistake: Treating the kilogram and the kilogram weight as the same unit
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Subscribe to unlock allQuiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te
Subscribe to unlock allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allExplain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Subscribe to unlock allSimplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Subscribe to unlock allEvaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Subscribe to unlock allReviewing all function skills before a test
I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev
Subscribe to unlock allStructured question: use binomial expansion to approximate a value
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Subscribe to unlock allStructured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Subscribe to unlock allStructured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Subscribe to unlock allExplain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
Subscribe to unlock allSolve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Subscribe to unlock allStructured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
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
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