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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 "Quiz: The direction cosines of a vector in three dimensions"

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Practice: Evaluating log to base 2 of 8

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Spot My Mistake: The logarithm of the base itself

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WAEC Prep: Why the logarithm of a negative number does not exist

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Show All Working: The common logarithm, to base ten

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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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Learn: The change of base formula

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

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WAEC Prep: Solving an exponential equation by taking logarithms of both sides

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Show All Working: Deciding whether a number belongs to a given 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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Spot My Mistake: The sum of an arithmetic progression with a negative common difference

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Common Mistakes: Proving the sum formula by pairing the terms

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Learn: The formula for the sum of the first n terms of a geometric progression

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Worked Example: Which form of the sum formula to use when r is less than one

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Learn: The four inequality symbols, and what each one means

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Quiz: Multiplying both sides by a positive number

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Learn: Factorising a quadratic before solving the inequality

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