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Senior Secondary

Further Mathematics

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1,316 prompts matching "The probability that a committee contains a given person"

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Learn: Finding alpha squared plus beta squared from the sum and product

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Learn: The degree of a polynomial and its leading coefficient

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Learn: The sum of the roots of a cubic read from its coefficients

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

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Explain Back: Solving an inequality that involves a modulus

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

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Learn: The meaning of n factorial, and how to evaluate it

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

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Learn: The meaning of n choose r, and how to evaluate it

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Quiz: Choosing a committee of r people from n

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Explain Back: Choosing a committee with a stated number from each of two groups

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

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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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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Common Mistakes: Giving the general solution of a trigonometric equation

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