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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Verify A times A-inverse equals the identity"

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Worked Example: What makes two surds equal

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Quiz: Reducing two surds to the same root in order to compare them

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Quiz: Subtracting one surd from another

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Quiz: Rationalising a denominator of the form one over root 3

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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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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Quiz: Testing the odd numbers for closure under addition

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Learn: What an identity element is

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Practice: Why an identity element must work from both sides

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Explain Back: What an inverse element is

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

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Quiz: The law for dividing powers of the same base

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Quiz: The law for the logarithm of a power

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Quiz: Finding the nth term of a linear sequence

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Quiz: The formula for the nth term of an arithmetic progression

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Quiz: The sum of the first fifty natural numbers

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Quiz: The formula for the nth term of a geometric progression

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Quiz: The sum of the first six terms of a given geometric progression

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Explain Back: Solving a linear inequality that contains brackets

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Spot My Mistake: Solving a linear inequality that contains a fraction

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