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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 "Checking a symmetric-function answer by solving the equation outright"

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

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Common Mistakes: Rationalising when both terms of the denominator are surds

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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

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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Final Revision: Deciding whether a given rule really is a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Final Revision: Why closure is checked before any other property

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Common Mistakes: Subtraction as an example of neither law

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Learn: What it means for one operation to distribute over another

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Worked Example: Testing whether star distributes over plus

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Final Revision: Why distributivity links two operations rather than one

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

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Final Revision: Identity and inverse together, and what they give the set

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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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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

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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