Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →950 prompts matching "Show that (1,2), (3,6), and (5,10) are collinear"
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 cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allWorked example: simplify (3+2i) + (1-5i)
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Subscribe to unlock allWorked example: simplify (2+i)(3-4i)
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Subscribe to unlock allWorked example: simplify (4+3i)/(1-2i)
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Subscribe to unlock allWorked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Subscribe to unlock allWorked example: find the magnitude of the vector (3,4)
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Subscribe to unlock allWorked example: find the unit vector in the direction of (6,8)
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Subscribe to unlock allWorked example: how many ways can 5 books be arranged on a shelf
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Subscribe to unlock allWorked example: in how many ways can 6 people be seated around a circular table
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Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Subscribe to unlock allCambridge-style structured question: factorise x^2 + 9x + 20
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Subscribe to unlock allCambridge-style structured question: factorise x^2 - 11x + 24
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Subscribe to unlock allCambridge-style structured question: factorise x^2 + 3x - 28
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Subscribe to unlock allCambridge-style structured question: factorise 2x^2 + 9x + 4
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x
Subscribe to unlock allCambridge-style structured question: factorise 3x^2 - 11x + 6
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x
Subscribe to unlock allMark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Subscribe to unlock allSpot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Subscribe to unlock allWAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Subscribe to unlock allSpot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
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