755 prompts matching "Practice: The triangle of velocities for a boat crossing a river"
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Learn: The conjugate of a compound surd expression
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Practice: Testing a set for closure under multiplication
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Final Revision: Why closure is checked before any other property
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Learn: What it means for one operation to distribute over another
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Spot My Mistake: Finding the inverse of a given element
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Final Revision: Converting an answer back out of index form
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Practice: Solving 2 to the power x equals 32
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Learn: The definition of a logarithm as the index
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Spot My Mistake: The logarithm of the base itself
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Worked Example: Writing out the terms of a sequence from its nth term
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Quiz: Finding the nth term of a linear sequence
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Worked Example: Finding the common difference of an arithmetic progression
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Quiz: The sum of the first fifty natural numbers
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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Common Mistakes: Proving the sum formula by pairing the terms
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Worked Example: Finding the common ratio of a geometric progression
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Quiz: The sum of the first six terms of a given geometric progression
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Final Revision: Proving the sum formula for a geometric progression
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