Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →262 prompts matching "Evaluating a polynomial by substitution"
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 sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Subscribe to unlock allSolve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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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 allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
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 allFind k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Subscribe to unlock allShow All Working: A quadratic whose two roots are both negative
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Subscribe to unlock allShow All Working: Completing the square with a fractional coefficient of x
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Subscribe to unlock allShow All Working: Choosing between factorising and the formula
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Subscribe to unlock allShow All Working: Roots equal in magnitude but opposite in sign
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Subscribe to unlock allShow All Working: Forming an equation whose roots are three alpha and three beta
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Subscribe to unlock allShow All Working: A simultaneous pair in which the second equation is a circle
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Subscribe to unlock allShow All Working: The point of contact when a line touches a curve
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Subscribe to unlock allShow All Working: Synthetic division as a shorter route
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Subscribe to unlock allShow All Working: A remainder of nought, and what it means
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