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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 "A word problem solved with the quadratic formula"

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Worked Example: Why multiplying by the conjugate clears the surd

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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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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Worked Example: Reading the symbol used for a binary operation

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Worked Example: Testing the even numbers for closure under addition

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

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

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

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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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Show All Working: The common logarithm, to base ten

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Worked Example: The law for the logarithm of a quotient

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Practice: The relation between log a of b and log b of a

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

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