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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Summarise polynomials and the remainder/factor theorems for quick revision"

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

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Show All Working: Deciding whether two given surds are equal without a calculator

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Worked Example: Adding two surds that simplify to the same root

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Worked Example: Why multiplying by the conjugate clears the surd

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Show All Working: A conjugate where the surd term comes first

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Common Mistakes: Rationalising when both terms of the denominator are surds

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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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Final Revision: Deciding whether a given rule really is a binary operation

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WAEC Prep: A set closed under one operation but not another

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Worked Example: Testing a*b against b*a for a given 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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Worked Example: Testing whether star distributes over plus

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Final Revision: Why distributivity links two operations rather than one

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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WAEC Prep: The inverse of the identity element itself

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

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Show All Working: Simplifying an expression with letters and indices

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

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