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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 sum to infinity fails when the ratio reaches one"

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Common Mistakes: Expanding the product of two surd brackets

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Show All Working: Checking a rationalised answer by decimal approximation

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Learn: The conjugate of a compound surd expression

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Explain Back: Solving an equation where the surd must be isolated first

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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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Final Revision: A word problem that leads to an equation in surd form

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WAEC Prep: Writing a binary operation rule from a description in words

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Worked Example: Testing the even numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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WAEC Prep: An operation that is commutative but not 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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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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

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Learn: Reading index notation, the base and the exponent

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Worked Example: The law for multiplying powers of the same base

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