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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,317 prompts matching "Simplifying the square root of a larger number"

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Quiz: Forming a quadratic equation whose roots are given

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Explain Back: Finding alpha squared beta plus alpha beta squared

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Explain Back: Forming a cubic equation whose three roots are given

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Show All Working: Solving a pair of simultaneous linear inequalities

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WAEC Prep: Circular permutations of n objects round a table

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Common Mistakes: Arrangements restricted at the first or the last place

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Quiz: Choosing a committee of r people from n

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Show All Working: Counting the handshakes, or the lines joining n points

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Common Mistakes: Selections in which at least one of a kind must appear

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Final Revision: Combinations used with the addition and multiplication principles

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Show All Working: The half angle formulae and the t-substitution

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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WAEC Prep: A phase shift in y equals sin of x minus d

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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Final Revision: The perpendicular distance from a point to a line

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