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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 "WAEC exam question: solving an equation involving surds"

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Learn: The conjugate of a compound surd expression

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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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Show All Working: Showing a set is not closed by a single counter-example

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

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Show All Working: An operation that is associative but not commutative

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Worked Example: Testing whether star distributes over plus

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Show All Working: Using distributivity to simplify an expression

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

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Show All Working: An element with no inverse under a given operation

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

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Show All Working: Simplifying an expression with letters and indices

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Worked Example: Rewriting a negative index as a fraction

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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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Worked Example: The law for the logarithm of a quotient

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Common Mistakes: A logarithmic equation that becomes a quadratic

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

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Worked Example: The alternative sum formula that uses the last term

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