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Senior Secondary

Further Mathematics

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1,041 prompts matching "IGCSE Additional Maths Y10: Showing that three points are collinear — IGCSE Exam"

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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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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Show All Working: Roots equal in magnitude but opposite in sign

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Common Mistakes: A symmetric function needing the sum and product twice over

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Final Revision: Using a symmetric function to find an unknown coefficient

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Show All Working: A simultaneous pair in which the second equation is a circle

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Final Revision: Checking both solutions in both equations

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Final Revision: A word problem about a line and a parabola

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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: Multiplying one polynomial by another

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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

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Common Mistakes: The degree of the quotient and of the remainder

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Final Revision: Writing the result of a polynomial division out in full

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Show All Working: A remainder of nought, and what it means

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