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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 length of the tangent from an external point"

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

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Spot My Mistake: Reading closure off an operation table

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Final Revision: Why closure is checked before any other property

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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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Practice: Why an identity element must work from both sides

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Spot My Mistake: Finding the inverse of a given element

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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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Final Revision: Identity and inverse together, and what they give the set

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Worked Example: The law for multiplying powers of the same base

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Practice: The law for a power raised to another power

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

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Final Revision: Converting an answer back out of index form

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Spot My Mistake: The logarithm of the base itself

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WAEC Prep: Why the logarithm of a negative number does not exist

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Worked Example: The law for the logarithm of a quotient

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WAEC Prep: Solving an exponential equation by taking logarithms of both sides

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Final Revision: Using change of base to prove a stated relation

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Show All Working: Deciding whether a given number is a term of a sequence

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