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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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906 prompts matching "Practice: Solving modulus of x greater than a"

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Final Revision: Proving that root 2 is irrational

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

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Worked Example: Finding one over alpha plus one over beta

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Show All Working: Finding a coefficient given a stated relation between the roots

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Worked Example: Evaluating a polynomial by substitution

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Final Revision: Checking that the roots found satisfy the original equation

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

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Final Revision: Counting the number plates or codes that can be formed under a rule

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Worked Example: The difference between a permutation and a combination

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

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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

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Final Revision: Proving an identity by working on one side only

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Final Revision: Losing solutions by dividing through by cos x

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

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