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Senior Secondary

Further Mathematics

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722 prompts matching "Checking a completed square by expanding it again"

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

Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t

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

I have just studied what it means for an operation to be associative in my SS1 Further Mat

Common Mistakes: Subtraction as an example of neither law

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

You are my personal SS1 Further Mathematics tutor. Teach me what it means for one operatio

Quiz: Left distributivity and right distributivity

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Practice: Multiplication distributing over addition in ordinary arithmetic

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication

WAEC Prep: A rule where distributivity holds one way only

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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Learn: What an identity element is

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

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Quiz: Finding the identity element from an operation table

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

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Worked Example: Rewriting a negative index as a fraction

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Quiz: A negative index on a fraction, and turning it upside down

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Practice: A fractional index with numerator one, read as a root

Act as my SS1 Further Mathematics tutor. Give me five practice questions on a fractional i

Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

Common Mistakes: Writing a root as a fractional index before simplifying

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