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Senior Secondary

Further Mathematics

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755 prompts matching "The rule that the transpose of a product reverses the order"

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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Final Revision: Approximating a surd to three decimal places

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Show All Working: Checking a rationalised answer by decimal approximation

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Final Revision: Checking a conjugate answer by multiplying back

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Show All Working: Showing a set is not closed by a single counter-example

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Final Revision: Why brackets matter when an operation is not associative

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Show All Working: Using distributivity to simplify an expression

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Show All Working: An element with no inverse under a given operation

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Show All Working: Simplifying an expression with letters and indices

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Common Mistakes: Writing a root as a fractional index before simplifying

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Show All Working: Comparing logarithms given in different bases

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Common Mistakes: An arithmetic progression with a negative common difference

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Final Revision: Inserting an arithmetic mean between two numbers

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