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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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716 prompts matching "determine whether p IMPLIES q is logically equivalent to (NOT p) OR q"

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Practice: Rationalising a denominator with a whole number multiplying the surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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

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WAEC Prep: An operation that is commutative but not associative

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Show All Working: An operation that is associative but not commutative

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Common Mistakes: Why the index laws need the bases to match

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Worked Example: Solving an indicial equation where one side must be factorised first

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

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

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

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

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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

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Common Mistakes: A quadratic inequality that has to be rearranged first

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Show All Working: The region satisfying two linear inequalities together

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