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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 triangle of forces for three forces in equilibrium"

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Practice: Testing a set for closure under multiplication

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

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

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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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Quiz: Finding the identity element from an operation table

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

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Practice: The law for a power raised to another power

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Spot My Mistake: The law for a quotient raised to a 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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WAEC Prep: Why the logarithm of a negative number does not exist

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Show All Working: The common logarithm, to base ten

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WAEC Prep: Simplifying a logarithmic expression before evaluating it

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WAEC Prep: Solving an exponential equation by taking logarithms of both sides

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Spot My Mistake: Finding the common difference from two given terms

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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