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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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938 prompts matching "Empty set and its notation"

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Common Mistakes: A symmetric function needing the sum and product twice over

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Worked Example: Substituting into the quadratic and tidying up

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Practice: Polynomial notation such as P of x

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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: The degree of the quotient and of the remainder

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Show All Working: A remainder of nought, and what it means

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Worked Example: Testing a list of candidates to find a factor

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Final Revision: A factor theorem question set in the WAEC style

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

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Final Revision: A conditional statement set in an everyday situation

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Learn: The biconditional, p if and only if q

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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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Show All Working: Arrangements of boys and girls alternately

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Common Mistakes: The link between Pascal's triangle and combinations

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