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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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512 prompts matching "Kinematics: equations of motion practice #4"

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Practice: Deciding whether root 16 is rational or irrational

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

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Show All Working: Classifying a mixed list of numbers as rational or irrational

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Practice: Collecting similar surds in an expression

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WAEC Prep: Ordering a list of surds by size

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Practice: Multiplying a whole number by a surd

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Common Mistakes: Expanding the product of two surd brackets

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

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

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

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Learn: The conjugate of a compound surd expression

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

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Explain Back: The difference of two squares applied to surd conjugates

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

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Worked Example: Squaring both sides safely when solving a surd equation

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Quiz: Checking a surd equation for extraneous roots

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Explain Back: Solving an equation where the surd must be isolated first

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

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Practice: A binary operation set out as a table

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