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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 inverse of a 2 by 2 matrix as one over the determinant times the adjoint"

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Common sign errors in algebraic manipulation

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Worked Example: What makes two surds equal

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Worked Example: Rationalising a denominator that is a single surd

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Worked Example: Squaring both sides safely when solving a surd equation

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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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Quiz: Evaluating a*b from a given rule

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Common Mistakes: A binary operation that is ordinary addition in disguise

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

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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Quiz: Left distributivity and right distributivity

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Spot My Mistake: Checking distributivity from two operation tables

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

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Spot My Mistake: A negative fractional index

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

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Common Mistakes: Reading a logarithm from a table

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Explain Back: Splitting a single logarithm into several

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: A logarithmic equation that becomes a quadratic

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