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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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744 prompts matching "Show that command word: line is tangent to a circle"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: Solving an equation with a single square root term

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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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WAEC Prep: Equating the rational and the irrational parts of an equation

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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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Explain Back: A binary operation defined on the integers

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Learn: What closure means for a binary operation

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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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WAEC Prep: A set closed under one operation but not another

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

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

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Practice: Why an identity element must work from both sides

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WAEC Prep: The inverse of the identity element itself

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Learn: Reading index notation, the base and the exponent

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

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WAEC Prep: Applying two index laws inside one expression

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Worked Example: Rewriting a negative index as a fraction

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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