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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 "What the formula gives when the discriminant is negative"

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Common Mistakes: A binary operation that is ordinary addition in disguise

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b

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Quiz: Testing the odd numbers for closure under addition

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Spot My Mistake: Reading closure off an operation table

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Show All Working: Showing a set is not closed by a single counter-example

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Common Mistakes: Closure on a set of three elements under a stated rule

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

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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

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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Show All Working: An operation that is associative but not commutative

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Quiz: Finding the identity element from an operation table

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Quiz: The law for dividing powers of the same base

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Worked Example: Rewriting a negative index as a fraction

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

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

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Final Revision: Converting an answer back out of index form

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Worked Example: Solving an indicial equation where one side must be factorised first

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Practice: Solving 2 to the power x equals 32

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

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