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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 "Check whether my exam layout would satisfy a Cambridge examiner"

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Quiz: Reducing two surds to the same root in order to compare them

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Practice: Collecting similar surds in an expression

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

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Final Revision: Surds that cannot be combined at all

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Quiz: Subtracting one surd from another

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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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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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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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Final Revision: Expressing a rationalised answer in the form a root b over c

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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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Practice: Solving an equation with a surd on each side

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Common Mistakes: A surd equation that has no real solution

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Final Revision: A word problem that leads to an equation in surd form

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Quiz: Evaluating a*b from a given rule

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Practice: A binary operation set out as a table

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