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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "The length of the tangent from an external point"

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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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Final Revision: Checking an indicial solution by substitution

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Quiz: Writing a logarithm as an index statement

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Show All Working: The common logarithm, to base ten

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

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Common Mistakes: An arithmetic progression with a negative common difference

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Final Revision: Inserting an arithmetic mean between two numbers

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Common Mistakes: Proving the sum formula by pairing the terms

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Final Revision: A savings problem modelled by an arithmetic progression

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Common Mistakes: Inserting a geometric mean between two numbers

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

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Final Revision: Proving the sum formula for a geometric progression

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Practice: Reversing the sign when multiplying by a negative number

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

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Common Mistakes: A quadratic inequality that has to be rearranged first

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Show All Working: The region satisfying two linear inequalities together

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Common Mistakes: Reading a solution set off a graph

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Final Revision: Writing the inequalities that describe a shaded region

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