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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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875 prompts matching "Structured question: solve a logarithmic equation with two conditions"

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Common Mistakes: Using the factor theorem before dividing

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Common Mistakes: Factorising fully, and knowing when to stop

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Show All Working: Solving a cubic that must first be rearranged

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Worked Example: Sentences that are not propositions

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Translating a symbolic statement back into English

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Worked Example: Conjunction in a three-variable truth table

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Show All Working: Reading the final column of a truth table

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Practice: What logical equivalence means

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Show All Working: The distributive laws in logic

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Common Mistakes: Simplifying a compound statement using the laws

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Worked Example: What a contradiction is

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Practice: Showing that a statement is a tautology

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Explain Back: Showing that a statement is a contradiction

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Show All Working: The negation of a tautology

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Worked Example: Premises and conclusion

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Practice: Modus tollens

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