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Further Mathematics

AI prompts for senior secondary learners.

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717 prompts matching "Spot my mistake solving x^2-3x-10=0"

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Common Mistakes: Checking an inverse by working the operation both ways

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Common Mistakes: Why the index laws need the bases to match

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Common Mistakes: Writing a root as a fractional index before simplifying

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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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Practice: Solving 2 to the power x equals 32

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Common Mistakes: An indicial equation solved by substitution

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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WAEC Prep: Solving an exponential equation by taking logarithms of both sides

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Explain Back: Spotting the pattern in a sequence of squares or cubes

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Common Mistakes: 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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Common Mistakes: Inserting a geometric mean between two numbers

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Explain Back: Solving a linear inequality that contains brackets

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Common Mistakes: A double inequality such as 2 less than x less than 7

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