Transcription of Completing the Square GCSE Mark Score (%) Edexcel …
1 Score (%)MarkMaterialsFor this paper you must have: Ruler Pencil, Rubber, Protractor and CompassScientific calculator, which you are expected to use when appropriateInstructionsAnswer all questionsAnswer questions in the space providedAll working must be shownDo all rough work in this book. Cross out any rough work you don't want to be markedInformationThe marks for the questions are shown in bracketsName:Date: Completing the SquareGCSEE dexcel Mathematics Grade (9-1)__99 blank1 Write x + 8x + 4 in the form (x + a) + b2 Write x + 10x + 2 in the form (x + a) + b3 Write x + 2x 4 in the form (x + a) + b4 Write x + 14x + 6 in the form (x + a) + (Total 2 marks)..(Total 2 marks)..(Total 2 marks)..(Total 2 marks) blank5 Write x 4x 9 in the form (x + a) + bHence write down the co-ordinates of the turning Write x 4x 17 in the form (x + a) + bHence write down the co-ordinates of the turning Write x 8x in the form (x + a) + bHence write down the co-ordinates of the turning Write x 4x 10 in the form (x + a) + bHence write down the co-ordinates of the turning (Total 3 marks).
2 (Total 3 marks)..(Total 3 marks)..(Total 3 marks) blankSolve x 7x 3 = 0 using Completing the Square x + 6x + 1 = 0 using Completing the Square Solve x + 4x 1 = 0 using Completing the Square 11 ..(Total 3 marks)..(Total 3 marks)..(Total 3 marks) blankSolve x = 2x + 10 using Completing the Square 2x 11x 30 = x x using Completing the Square x + 4x 16 = 0 using Completing the Square 13 (Total 3 marks)..(Total 3 marks)..(Total 3 marks) blankWrite 3x + 12x + 3 in the form a(x + b) + c Write 2x + 8x + 4 in the form a(x + b) + c Write 2x + 12x + 2 in the form a(x + b) + c 15 16 17 ..(Total 3 marks)..(Total 3 marks)..(Total 3 marks) blankWrite 2x + 16x + 4 in the form a(x + b) + c Hence write down the co-ordinates of the turning 4x + 16x + 8 in the form a(x + b) + cHence write down the co-ordinates of the turning 7x + 28x + 7 in the form a(x + b) + cHence write down the co-ordinates of the turning point.
3 18 19 (Total 4 marks)..(Total 4 marks)..(Total 4 marks) 3x + 18x + 3 = 0 using Completing the Square blankblankSolve 3x + 12x + 9 = 0 using Completing the Square 3x + 12x 27 = 0 using Completing the Square 22 23 ..(Total 4 marks)..(Total 4 marks)..(Total 4 marks) blankSolve 3x + 30x + 4 = 0 using Completing the Square 3x + 12x + 3 = 0 using Completing the Square 3x + 12x 3 = 0 using Completing the Square 25 26 ..(Total 4 marks)..(Total 4 marks)..(Total 4 marks) blanka = .. b = .. (3)The equation of a curve is y = f(x) where f(x) = x2 8x + 27. The diagram shows part of a sketch of the graph of y = f(x). The minimum point of the curve is M. (b) Write down the coordinates of (1) The expression x2 8x + 27 can be written in the form (x a)2 + b for all values of x.
4 (a) Find the value of a and the value of (Total 4 marks) blankUse Completing the Square to find the minimum point of the curve y = x2 + 4x + 9 and sketch the curve. Use Completing the Square to find the minimum point of the curve y = x2 + 6x + 15 and sketch the curve. Use Completing the Square to find the minimum point of the curve y = x2 + 4x + 9 and sketch the curve. 2829 (Total 4 marks)..(Total 4 marks)..(Total 4 marks)
