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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 "The identities for one plus tan squared and one plus cot squared"

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Practice: Collecting similar surds in an expression

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Final Revision: Surds that cannot be combined at all

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Practice: Multiplying a whole number by a surd

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Worked Example: Rationalising a denominator that is a single surd

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Final Revision: Checking a conjugate answer by multiplying back

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

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Practice: Solving an equation with a surd on each side

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Practice: A binary operation set out as a table

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Practice: An operation that is not commutative, with a counter-example

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Final Revision: Why brackets matter when an operation is not associative

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Worked Example: Rewriting a negative index as a fraction

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Final Revision: Checking an indicial solution by substitution

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Worked Example: Writing an index statement as a logarithm

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Practice: Evaluating log to base 2 of 8

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Final Revision: Using change of base to prove a stated relation

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Final Revision: Inserting an arithmetic mean between two numbers

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Final Revision: A savings problem modelled by an arithmetic progression

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Final Revision: A word problem that leads to a linear inequality

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