1,106 prompts matching "IGCSE Additional Maths Y10: What makes a function one-one — Teach Me"
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Common Mistakes: Showing that intersection distributes over union
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Final Revision: The power set, and how many subsets a set of n elements has
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Worked Example: Testing whether a binary operation is closed on a given set
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Quiz: Testing a binary operation for commutativity
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Final Revision: Deciding whether a set under an operation forms a group
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Worked Example: Collecting like surds in a single sum
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Quiz: Multiplying two surds and simplifying the result
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Spot My Mistake: Squaring a bracket that contains a surd
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Quiz: Solving an index equation by writing both sides to the same base
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Spot My Mistake: The power law of logarithms
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Quiz: Forming a quadratic equation whose roots are given
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Quiz: Finding alpha cubed plus beta cubed
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