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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 "A truth table with three propositions in it"

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Common Mistakes: Expanding the product of two surd brackets

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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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

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

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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

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

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Common Mistakes: Subtraction as an example of neither law

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Practice: Why an identity element must work from both sides

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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Common Mistakes: Checking an inverse by working the operation both ways

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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

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Worked Example: The law for the logarithm of a quotient

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Explain Back: Spotting the pattern in a sequence of squares or cubes

I have just studied spotting the pattern in a sequence of squares or cubes in my SS1 Furth

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