363 prompts matching "A longer statement tested for tautology"
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Common sign errors in algebraic manipulation
Show me a fully worked Cambridge/Additional Maths style solution to a question on the most
Common mistakes with composite and inverse functions
Teach me the most common mistakes SS1 students make with composite and inverse functions,
Learn: Telling a rational number from an irrational one
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Worked Example: Why the square root of a non-square whole number is irrational
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Quiz: Writing a recurring decimal as a fraction to show it is rational
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Practice: Deciding whether root 16 is rational or irrational
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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats
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Learn: What makes two surds similar
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Worked Example: What makes two surds equal
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Quiz: Reducing two surds to the same root in order to compare them
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Practice: Collecting similar surds in an expression
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Spot My Mistake: Why root 8 and root 2 turn out to be similar
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Worked Example: Adding two surds that simplify to the same root
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Quiz: Subtracting one surd from another
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Practice: Multiplying a whole number by a surd
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Spot My Mistake: Dividing one surd by another
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Learn: Why a surd is never left in the denominator
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Worked Example: Rationalising a denominator that is a single surd
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Spot My Mistake: Rationalising and then cancelling a common factor
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