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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 z-score of a value that lies below the mean"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Simplify the surd expression (2+sqrt5)^2

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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: find the distance between the points (1,2) and (4,6)

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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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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Explain Back: The zero product rule, and why it works

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

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Explain Back: An answer left in surd form after completing the square

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Spot My Mistake: Completing the square when the roots are not real

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Practice: Giving the roots correct to two decimal places

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Spot My Mistake: What the formula gives when the discriminant is nought

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WAEC Prep: What the formula gives when the discriminant is negative

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