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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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319 prompts matching "Simplifying a surd by extracting square factors"

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 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Hence solve command word: quadratic equations

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Find 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

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Show All Working: A quadratic whose two roots are both negative

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Show All Working: Roots equal in magnitude but opposite in sign

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Show All Working: A simultaneous pair in which the second equation is a circle

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Show All Working: The point of contact when a line touches a curve

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Show All Working: Adding and subtracting two polynomials

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Show All Working: Synthetic division as a shorter route

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Show All Working: A remainder of nought, and what it means

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Show All Working: Solving a cubic that must first be rearranged

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