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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 "Teach me the chain rule with an example"

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

Common Mistakes: Why a rational number added to an irrational one stays irrational

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Practice: Collecting similar surds in an expression

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

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Show All Working: Checking a rationalised answer by decimal approximation

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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

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Practice: Multiplication distributing over addition in ordinary arithmetic

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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: Distributivity on a set of three elements

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

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Practice: Solving 2 to the power x equals 32

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Show All Working: The common logarithm, to base ten

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Practice: Finding the nth term of a quadratic sequence

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