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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 "Arrangements in which two particular objects must be kept apart"

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

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Quiz: Writing a recurring decimal as a fraction to show it is rational

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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: Why a rational number added to an irrational one stays irrational

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Worked Example: What makes two surds equal

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Learn: Simplifying root 72 into its simplest form

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Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Show All Working: Simplifying a surd expression that contains brackets

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Learn: Why a surd is never left in the denominator

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

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Spot My Mistake: Rationalising and then cancelling a common factor

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Show All Working: A conjugate where the surd term comes first

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Learn: Solving an equation with a single square root term

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Quiz: Checking a surd equation for extraneous roots

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

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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