755 prompts matching "Test me under exam conditions on permutations and combinations"
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Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Common Mistakes: Distributivity on a set of three elements
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Quiz: Finding the identity element from an operation table
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Learn: Reading index notation, the base and the exponent
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Worked Example: The law for multiplying powers of the same base
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Learn: Solving an equation by writing both sides to the same base
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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Worked Example: Writing an index statement as a logarithm
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Practice: The relation between log a of b and log b of a
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Learn: What a sequence is, and what a term means
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Learn: What makes a sequence an arithmetic progression
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Quiz: The formula for the nth term of an arithmetic progression
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