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Senior Secondary

Further Mathematics

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755 prompts matching "The identity that A times its adjoint gives the determinant times the identity"

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Practice: Collecting similar surds in an expression

Act as my SS1 Further Mathematics tutor. Give me five practice questions on collecting sim

Common Mistakes: Expressing root 50 as a multiple of root 2

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Practice: Multiplying a whole number by a surd

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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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Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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Practice: A binary operation set out as a table

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

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Practice: Testing a set for closure under multiplication

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

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Common Mistakes: Closure on a set of three elements under a stated rule

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Quiz: Reading commutativity off a symmetrical operation table

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

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Quiz: Left distributivity and right distributivity

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Show All Working: Simplifying an expression with letters and indices

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