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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 "Teach me dividing complex numbers by rationalising with the conjugate"

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Common Mistakes: Rationalising a denominator of the form root a over root b

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

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

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

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Practice: Solving an equation with a surd on each side

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

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Worked Example: Testing the even numbers for closure under addition

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

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i

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Quiz: Reading commutativity off a symmetrical operation table

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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

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Quiz: Finding the identity element from an operation table

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Spot My Mistake: Finding the inverse of a given element

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

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Final Revision: Evaluating a numerical expression using the index laws

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Quiz: An indicial equation that becomes a quadratic in a power

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

I have just studied an indicial equation with the unknown in the exponent on both sides in

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Common Mistakes: An indicial equation solved by substitution

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Quiz: Writing a logarithm as an index statement

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