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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 "The discriminant used as the test for intersection"

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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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WAEC Prep: Expressing the answer in the form a plus b root c

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Learn: What it means for one operation to distribute over another

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

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Learn: Reading index notation, the base and the exponent

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Practice: The law for a power raised to another power

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Spot My Mistake: The law for a quotient raised to a power

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

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Learn: Solving an equation by writing both sides to the same base

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Learn: The definition of a logarithm as the index

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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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Spot My Mistake: The logarithm of the base itself

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Learn: The law for the logarithm of a product

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Worked Example: The law for the logarithm of a quotient

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Quiz: The law for the logarithm of a power

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

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Quiz: The formula for the nth term of an arithmetic progression

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Learn: The formula for the sum of the first n terms of an arithmetic progression

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Common Mistakes: Proving the sum formula by pairing the terms

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