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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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730 prompts matching "Structured question: classify a line-curve relationship"

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Show All Working: Deciding whether two given surds are equal without a calculator

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Worked Example: Adding two surds that simplify to the same root

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Show All Working: Simplifying a surd expression that contains brackets

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Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

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Worked Example: Why multiplying by the conjugate clears the surd

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Show All Working: A conjugate where the surd term comes first

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Worked Example: Squaring both sides safely when solving a surd equation

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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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Worked Example: Reading the symbol used for a binary operation

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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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Show All Working: Showing a set is not closed by a single counter-example

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

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

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

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