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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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901 prompts matching "Area of a triangle from three coordinates"

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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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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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Quiz: Finding alpha cubed plus beta cubed

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

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Practice: Factorising a cubic completely once one factor is known

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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

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Quiz: The tangent curve and its asymptotes

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

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Common Mistakes: The condition for a line to be a tangent to a circle

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