755 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
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Dividing algebraic fractions
I am in SS 1. I attempted an Additional Maths question on dividing one algebraic fraction
Changing the subject of a simple formula
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Show All Working: Classifying a mixed list of numbers as rational or irrational
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Practice: Collecting similar surds in an expression
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Practice: Multiplying a whole number by a surd
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Show All Working: Simplifying a surd expression that contains brackets
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Show All Working: Checking a rationalised answer by decimal approximation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati
Show All Working: A conjugate where the surd term comes first
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Common Mistakes: Rationalising when both terms of the denominator are surds
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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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Common Mistakes: A binary operation that is ordinary addition in disguise
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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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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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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
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on using distribut