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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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720 prompts matching "Power set of a three-element set"

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Common Mistakes: Multiplying one polynomial by another

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on mul

Show All Working: Synthetic division as a shorter route

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis

Common Mistakes: The remainder theorem applied to a quartic

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Final Revision: A word problem that uses the remainder theorem

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Show All Working: What the factor theorem says about the roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor

Common Mistakes: Using the factor theorem before dividing

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Show All Working: Factorising a polynomial with fractional roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p

Common Mistakes: Factorising fully, and knowing when to stop

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Final Revision: Checking a factorisation by expanding it again

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Show All Working: Solving a cubic that must first be rearranged

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic

Common Mistakes: A cubic equation arising from a volume problem

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Show All Working: Translating an English sentence into logical symbols

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on translating an

Common Mistakes: Translating a symbolic statement back into English

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Common Mistakes: Comparing two statements by their truth tables

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Show All Working: Why a conditional and its converse are not equivalent

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition

Show All Working: The distributive laws in logic

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Common Mistakes: Simplifying a compound statement using the laws

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Final Revision: A biconditional used in a mathematical definition

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Final Revision: A longer statement tested for tautology

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