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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 "Give me practice on the remainder theorem"

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

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

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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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Spot My Mistake: A binary operation defined on a set of three elements

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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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Quiz: Testing the odd numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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

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Learn: What it means for an operation to be commutative

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Quiz: Reading commutativity off a symmetrical operation table

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

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Common Mistakes: Subtraction as an example of neither law

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Common Mistakes: Distributivity on a set of three elements

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

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Common Mistakes: Checking an inverse by working the operation both ways

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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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Quiz: The law for dividing powers of the same base

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