1,043 prompts matching "Why one component vanishes when the direction is chosen well"
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the distance between the points (1,2) and (4,6)
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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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Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Common Mistakes: Writing down the roots once the brackets are found
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Final Revision: A word problem solved with the quadratic formula
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Common Mistakes: A symmetric function needing the sum and product twice over
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Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The degree of a polynomial in one variable
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Final Revision: The degree of the product of two polynomials
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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 degree of the quotient and of the remainder
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WAEC Prep: The remainder theorem checked against long division
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Common Mistakes: The remainder theorem applied to a quartic
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Final Revision: A word problem that uses the remainder theorem
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a