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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 the laws of logarithms"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

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Common Mistakes: Expanding the product of two surd brackets

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Quiz: Rationalising a denominator of the form one over root 3

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

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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

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

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Quiz: Reading commutativity off a symmetrical operation table

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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: Writing an index statement as a logarithm

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Quiz: Writing a logarithm as an index statement

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Practice: The relation between log a of b and log b of a

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Spot My Mistake: A logarithm to base e, the natural logarithm

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Worked Example: Writing out the terms of a sequence from its nth term

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