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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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712 prompts matching "why a line tangent to a curve gives equal roots"

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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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Worked Example: Reading the symbol used for a binary operation

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Practice: A binary operation set out as a table

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Worked Example: Testing the even numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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

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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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

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Final Revision: Evaluating a numerical expression using the index laws

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Worked Example: Rewriting a negative index as a fraction

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Final Revision: Converting an answer back out of index form

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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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Final Revision: The characteristic and the mantissa of a logarithm

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Worked Example: The law for the logarithm of a quotient

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Final Revision: Proving a logarithmic identity from the laws

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