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Senior Secondary

Further Mathematics

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1,045 prompts matching "The equation of the circle through three given points"

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Worked Example: Factorising a cubic into a linear and a quadratic factor

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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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Learn: Solving a cubic once it has been factorised

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

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Learn: What makes a sentence a proposition

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Worked Example: Sentences that are not propositions

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Translating a symbolic statement back into English

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Learn: How many rows a truth table needs

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

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Learn: What a tautology is

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Worked Example: What a contradiction is

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Learn: What makes an argument valid

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Worked Example: Premises and conclusion

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Learn: Arranging five different books on a shelf

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Common Mistakes: Arranging objects when some must stay in a fixed order

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Learn: What makes a permutation cyclic

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Common Mistakes: Comparing a line arrangement with a circular one

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