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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 completing the square when the coefficient of x squared is one"

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Common Mistakes: Expanding the product of two surd brackets

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

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

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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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Quiz: Finding the identity element from an operation table

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Final Revision: Evaluating a numerical expression using the index laws

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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Final Revision: The characteristic and the mantissa of a logarithm

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Worked Example: The law for the logarithm of a quotient

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

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

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Practice: Finding the nth term of a quadratic sequence

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Show All Working: Deciding whether a given number is a term of a sequence

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Show All Working: The sum of the terms lying between two given positions

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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Final Revision: Deciding whether a given sequence is a geometric progression

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