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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The greatest extension reached by a falling particle on an elastic string"

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

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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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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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Final Revision: A word problem solved by factorising a quadratic

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Practice: Working through a quadratic by completing the square, step by step

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Show All Working: Completing the square with a fractional coefficient of x

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Common Mistakes: Checking a completed square by expanding it again

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Learn: Deriving the quadratic formula by completing the square

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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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WAEC Prep: Dividing by a factor of the form ax plus b

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Show All Working: Synthetic division as a shorter route

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Final Revision: Checking a factorisation by expanding it again

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Final Revision: Checking a root of a cubic by substitution

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Show All Working: The negation of a tautology

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