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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"

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Show All Working: A three-set Venn diagram drawn from a subject survey

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se

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Common Mistakes: Showing that intersection distributes over union

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Practice: Testing a binary operation for associativity

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Show All Working: Solving a quadratic by completing the square

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

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Practice: Factorising a cubic completely once one factor is known

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Show All Working: Solving a pair of simultaneous linear inequalities

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Common Mistakes: The range of values of x for which an expression stays positive

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Practice: Arrangements when some of the objects are identical

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Show All Working: Arrangements of the letters of a given word

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

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Practice: Choosing a committee that must contain one particular person

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

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Practice: The compound angle formula for cosine of A minus B

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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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Practice: The effect of a in y equals a sin x

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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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