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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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705 prompts matching "a GP with first term 100 and common ratio 0.5, find the sum to infinity"

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Worked Example: Rationalising a denominator that is a single surd

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Explain Back: Simplifying the answer once the denominator is rational

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Explain Back: Solving an equation where the surd must be isolated first

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Common Mistakes: A surd equation that has no real solution

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Worked Example: Reading the symbol used for a binary operation

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Explain Back: A binary operation defined on the integers

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Common Mistakes: Closure on a set of three elements under a stated rule

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Explain Back: What it means for an operation to be associative

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Common Mistakes: Subtraction as an example of neither law

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Common Mistakes: Distributivity on a set of three elements

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

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Explain Back: A fractional index with a numerator above one

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

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Worked Example: Solving an indicial equation where one side must be factorised first

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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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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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: A logarithmic equation that becomes a quadratic

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