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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "IGCSE Additional Maths Y11: Solving an equation that contains sec x — Show All W"

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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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

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Final Revision: Solving a disguised quadratic by substitution

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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

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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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Spot My Mistake: The identity that n choose r equals n choose n minus r

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

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

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Practice: The equation of a line through a point with a given gradient

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

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Learn: The equation of a circle with its centre at the origin

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Practice: The equation of a circle on a given diameter

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