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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 "The laws of logarithms for a product and for a quotient"

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Spot My Mistake: Dividing one surd by another

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

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Practice: Rationalising a denominator with a whole number multiplying the surd

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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

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Quiz: Checking a surd equation for extraneous roots

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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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Practice: Testing a set for closure under multiplication

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

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Quiz: Left distributivity and right distributivity

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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Quiz: Finding the identity element from an operation table

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

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WAEC Prep: Applying two index laws inside one expression

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Show All Working: Simplifying an expression with letters and indices

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Quiz: A negative index on a fraction, and turning it upside down

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Show All Working: Simplifying an expression that mixes the index types

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Practice: Solving 2 to the power x equals 32

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