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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 "Why the limit is taken as h tends to nought"

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Final Revision: Deciding whether a given rule really is a binary operation

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Explain Back: Testing the integers for closure under division

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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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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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WAEC Prep: Evaluating 8 to the power two-thirds

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Common Mistakes: Writing a root as a fractional index before simplifying

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Worked Example: Solving an indicial equation where one side must be factorised first

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Learn: The definition of a logarithm as the index

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Final Revision: The characteristic and the mantissa of a logarithm

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Learn: The change of base formula

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Common Mistakes: The Fibonacci sequence and the rule behind it

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

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Practice: Finding n when the sum of an arithmetic progression is given

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Common Mistakes: Proving the sum formula by pairing the terms

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Final Revision: Deciding whether a given sequence is a geometric progression

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Practice: Finding n when the sum of a geometric progression is given

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Common Mistakes: A double inequality such as 2 less than x less than 7

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Explain Back: The solution when the quadratic expression is greater than nought

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