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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 condition for a line to be a tangent to a circle"

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Worked Example: Why multiplying by the conjugate clears the surd

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Quiz: Checking a surd equation for extraneous roots

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Learn: What closure means for a binary operation

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Worked Example: Testing a*b against b*a for a given rule

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Worked Example: Testing whether star distributes over plus

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

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Quiz: Finding the identity element from an operation table

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Spot My Mistake: Finding the inverse of a given element

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Learn: Reading index notation, the base and the exponent

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Quiz: An indicial equation that becomes a quadratic in a power

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Learn: The definition of a logarithm as the index

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Spot My Mistake: The logarithm of the base itself

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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Quiz: Evaluating log to base 3 of 7 by change of base

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Worked Example: Writing out the terms of a sequence from its nth term

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Worked Example: Finding the common difference of an arithmetic progression

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Spot My Mistake: Finding the common difference from two given terms

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Spot My Mistake: The sum of an arithmetic progression with a negative common difference

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Worked Example: Finding the common ratio of a geometric progression

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