Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "The focus-directrix definition shared by all the conics"
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 logarithmic equation log3(x^2) - log3(x+2) = 1
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Subscribe to unlock allSolve the logarithmic equation log5(x+3) + log5(2) = 2
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Subscribe to unlock allSimplify the surd expression sqrt(72) + sqrt(18)
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Subscribe to unlock allSimplify the surd expression sqrt(50) - sqrt(8)
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Subscribe to unlock allSimplify the surd expression (3+sqrt2)(3-sqrt2)
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Subscribe to unlock allSimplify the surd expression 5/(1+sqrt3)
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Subscribe to unlock allSimplify the surd expression (2+sqrt5)^2
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Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
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Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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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 allTimed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Subscribe to unlock allWAEC-style multi-mark question on completing the square
I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four
Subscribe to unlock allExplain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
Subscribe to unlock allExplain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Subscribe to unlock allShow All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Subscribe to unlock allFinal Revision: A word problem solved by factorising a quadratic
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Subscribe to unlock allExplain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Subscribe to unlock allCommon Mistakes: Checking a completed square by expanding it again
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Subscribe to unlock allPractice: Giving the roots correct to two decimal places
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Subscribe to unlock allExplain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem
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