1,045 prompts matching "Structured question: combination problem with 'at least' condition"
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Explain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Common Mistakes: Writing down the roots once the brackets are found
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Worked Example: Halving the coefficient of x and squaring it
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Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Common Mistakes: Checking a completed square by expanding it again
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Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Worked Example: The product of the roots as c over a
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Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Explain Back: The value of alpha minus beta, all squared
I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati
Common Mistakes: A symmetric function needing the sum and product twice over
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