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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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346 prompts matching "Adding surds that need simplifying first"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Common Mistakes: The remainder theorem applied to a quartic

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

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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Practice: Factorising a quartic as the product of two quadratics

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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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Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

Common Mistakes: A cubic equation arising from a volume problem

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Practice: The conjunction of two propositions

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the conjunctio

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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Practice: Negation combined with a compound statement

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Show All Working: Reading the final column of a truth table

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

Common Mistakes: Comparing two statements by their truth tables

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Practice: The converse of a conditional

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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

Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Practice: What logical equivalence means

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Show All Working: The distributive laws in logic

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

Show All Working: The negation of a tautology

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

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