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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 "A random variable, and the values it may take"

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Worked Example: Adding two surds that simplify to the same root

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding

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Explain Back: Simplifying the answer once the denominator is rational

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Worked Example: Why multiplying by the conjugate clears the surd

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Explain Back: The difference of two squares applied to surd conjugates

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Show All Working: A conjugate where the surd term comes first

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Explain Back: Solving an equation where the surd must be isolated first

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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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Worked Example: Reading the symbol used for a binary operation

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Explain Back: A binary operation defined on the integers

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Explain Back: Testing the integers for closure under division

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Explain Back: What it means for an operation to be associative

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Worked Example: Testing whether star distributes over plus

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Explain Back: Showing distributivity fails by a counter-example

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

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Practice: The law for a power raised to another power

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Explain Back: The law for a product raised to a power

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Explain Back: A fractional index with a numerator above one

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Show All Working: Simplifying an expression that mixes the index types

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Practice: Solving 2 to the power x equals 32

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