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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Surd answers in area and perimeter questions"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Practice: Factorising a quartic as the product of two quadratics

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Learn: Solving a cubic once it has been factorised

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Practice: A cubic with one real root and two complex ones

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Common Mistakes: A cubic equation arising from a volume problem

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Final Revision: Checking a root of a cubic by substitution

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Common Mistakes: Translating a symbolic statement back into English

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Final Revision: A compound proposition built from three simple ones

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Practice: Negation combined with a compound statement

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Common Mistakes: Comparing two statements by their truth tables

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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: Simplifying a compound statement using the laws

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Final Revision: A biconditional used in a mathematical definition

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Practice: Showing that a statement is a tautology

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Final Revision: A longer statement tested for tautology

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Worked Example: Premises and conclusion

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Common Mistakes: The fallacy of denying the antecedent

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Learn: Arranging five different books on a shelf

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Common Mistakes: Arranging objects when some must stay in a fixed order

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Final Revision: Counting the arrangements of people in a queue

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