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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 question on truth tables"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: What it means for an operation to be commutative

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Practice: An operation that is not commutative, with a counter-example

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Explain Back: What it means for an operation to be associative

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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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Final Revision: Why brackets matter when an operation is not associative

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Learn: What it means for one operation to distribute over another

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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

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

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Final Revision: Identity and inverse together, and what they give the set

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Learn: Reading index notation, the base and the exponent

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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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Final Revision: Evaluating a numerical expression using the index laws

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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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