1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Summarise permutations and combinations for quick revision
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Summarise trigonometric identities and equations for quick revision
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Summarise sequences and series for quick revision
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Summarise logarithms and indices for quick revision
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
Worked Example: Factorising a quadratic whose leading coefficient is not one
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Spot My Mistake: Completing the square when the roots are not real
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Common Mistakes: Checking a completed square by expanding it again
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Spot My Mistake: What the formula gives when the discriminant is nought
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WAEC Prep: What the formula gives when the discriminant is negative
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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