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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 "Give me practice constructing truth tables"

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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

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

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

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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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Quiz: Left distributivity and right distributivity

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Explain Back: Showing distributivity fails by a counter-example

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Show All Working: Using distributivity to simplify an expression

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

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Learn: Reading index notation, the base and the exponent

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Spot My Mistake: The law for a quotient raised to a power

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Show All Working: Simplifying an expression with letters and indices

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

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Learn: Why any non-zero number to the power nought is one

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Worked Example: Rewriting a negative index as a fraction

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

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