Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,014 prompts matching "Deciding whether a given rule really is a binary operation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain 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 allExplain Back: Rationalising a denominator of the form a plus root b using the conjugate
I have just studied rationalising a denominator of the form a plus root b using the conjug
Subscribe to unlock allExplain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
I have just studied finding an unknown coefficient given that a stated factor divides the
Subscribe to unlock allExplain Back: Forming a cubic equation whose three roots are given
I have just studied forming a cubic equation whose three roots are given in my SS3 Further
Subscribe to unlock allExplain Back: The equation of the line through two given points
I have just studied the equation of the line through two given points in my SS3 Further Ma
Subscribe to unlock allExplain Back: The displacement written as x equals a sin omega t
I have just studied the displacement written as x equals a sin omega t in my SS3 Further M
Subscribe to unlock allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allSpot my mistake in a combination calculation
I am in SS 3. I will show you my working for a combination problem. Check whether I used n
Subscribe to unlock allShow that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Subscribe to unlock allSpot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allSpot my mistake: geometric progression sum to infinity
I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allStructured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Subscribe to unlock allWAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
Subscribe to unlock allSpot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Subscribe to unlock allWAEC Prep: Evaluating 2A plus 3B for two given matrices
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Cramer's rule applied to a pair with fractional coefficients
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through Cramer's rule appl
Subscribe to unlock allLearn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
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