[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-210810-en":3,"doc-seo-210810-105":30,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},210810,1099513958607,"Jiven","https://ap-avatar.wpscdn.com/avatar/100002390cf8733938c?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778829742770036399",4,"Exam","Quadratic Formula - GCSE Practice Worksheet","GCSE Mathematics practice worksheet focused on solving quadratic equations using the quadratic formula and related algebraic methods. The questions ask learners to find solutions to equations with coefficients, express answers in specified forms such as a ± b√c, and give exact solutions or rounded decimals to defined places. Realistic geometry-based problems also appear, including calculating field dimensions, area-based reasoning with composite shapes, and surface area reasoning for cuboids and right-angled triangles.","| | Name:\u003Cbr>Date: | |\n| --- | --- | --- |\n\n\n| | Quadratic Formula | |\n| --- | --- | --- |\n\nGCSE  \nMark  \nScore (%)  \nEdexcel Mathematics Grade (9-1)  \n69  \nMaterials  \nFor this paper you must have:  \n Ruler  \n Pencil, Rubber, Protractor and Compass  \n Scientific calculator, which you are expected to use when appropriate Instructions  \n Answer all questions  \n Answer questions in the space provided  \n All working must be shown  \n Do all rough work in this book. Cross out any rough work you don't want to be marked Information  \n The marks for the questions are shown in brackets  \n\n| 1 Solve 2x² + 6x + 3 = 0\u003Cbr>Give your solutions correct to 2 decimal places.\u003Cbr>x =   or  \u003Cbr>(Total for question 1 is 3 marks) | Leave\u003Cbr>blank |  |  |\n| --- | --- | --- | --- |\n|  |  | |  |\n| 2 Solve 3x² + 14x + 6 = 0\u003Cbr>Give your solutions correct to 2 decimal places.\u003Cbr>x =   or  \u003Cbr>(Total for question 2 is 3 marks) |  |  |  |\n|  |  | |  |\n| 3 Solve 2x² – 2x – 11 = 0\u003Cbr>Give your solutions correct to 1 decimal place.\u003Cbr>x =   or  \u003Cbr>(Total for question 3 is 3 marks) |  |  |  |\n|  |  | |  |\n\n\n| 4 Solve x² + 2x – 7 = 0\u003Cbr>Give your answers in the form a ± b􀀂c .\u003Cbr>x =   or  \u003Cbr>(Total for question 4 is 3 marks) | Leave\u003Cbr>blank |  |  |\n| --- | --- | --- | --- |\n|  |  |  |  |\n| 5 Solve 3x² + 2x – 13 = 0\u003Cbr>Give your answers in the form a ± b􀀂c .\u003Cbr>x =   or  \u003Cbr>(Total for question 5 is 3 marks) |  |  |  |\n|  |  |  |  |\n| 6 Solve 2x² – 13x + 7 = 0\u003Cbr>Give your answers in the form a ± b􀀂c .\u003Cbr>x =   or  \u003Cbr>(Total for question 6 is 3 marks) |  |  |  |\n|  |  | |  |\n\n\n| \u003Cbr>7 Solve the following equation.\u003Cbr>Give your answer to 2 decimal places.\u003Cbr>x =   or  \u003Cbr>(Total for question 7 is 4 marks) | Leave\u003Cbr>blank |  |  |\n| --- | --- | --- | --- |\n|  |  |  |  |\n| 8 Solve the following equation.\u003Cbr>Give your answers in their exactform \u003Cbr>x =   or  \u003Cbr>(Total for question 8 is 4 marks) |  |  |  |\n|  |  | |  |\n\n\n| 9 Solve the equation 12x² − 13x + 4 = 13x² − 5x + 1\u003Cbr>x =   or  \u003Cbr>(Total for question 9 is 3 marks) | Leave\u003Cbr>blank |  |  |\n| --- | --- | --- | --- |\n|  |  |  |  |\n|  |  |  |  |\n| 10 A rectangular field is 16m longer than it is wide.\u003Cbr>The area of the field is 100m² .\u003Cbr>Work out the length of the field.\u003Cbr>Give your answer to 1 decimal place.\u003Cbr>  m\u003Cbr>(Total for question 10 is 4 marks) |  |  |  |\n|  |  | |  |\n\n\n| 11 The diagram below is a six sided shape and has a total area of 56 cm2.\u003Cbr>\u003Cbr>(2x + 7) cm\u003Cbr>3 cm\u003Cbr>(4x + 5) cm\u003Cbr>(a) Show that 2x2 + 11x − 69 = 0\u003Cbr>(3)\u003Cbr>(b) Find the value of x.\u003Cbr>Give your answer to 3 significant figures.\u003Cbr>  cm\u003Cbr>(2)\u003Cbr>(Total for question 11 is 5 marks) | Leave\u003Cbr>blank |  |\n| --- | --- | --- |\n|  | |  |\n\n\n| 12 The diagram below is a patio and has a total area of 22 m2.\u003Cbr>\u003Cbr>(4y + 4) cm\u003Cbr>2 cm\u003Cbr>(2y + 3) cm\u003Cbr>(y + 1) cm\u003Cbr>(a) Show that y2 + 13y − 11 = 0\u003Cbr>(3)\u003Cbr>(b) Find the value of y.\u003Cbr>Give your answer to 3 significant figures.\u003Cbr>  cm\u003Cbr>(2)\u003Cbr>(Total for question 12 is 5 marks) | Leave\u003Cbr>blank |  |\n| --- | --- | --- |\n|  | |  |\n\n\n| 13 Shown is a cuboid.\u003Cbr>(x + 4) cm\u003Cbr>3x cm\u003Cbr>The surface area of the cuboid is 172cm2.\u003Cbr>(a) Show 30x2 + 48x − 172 = 0\u003Cbr>(3)\u003Cbr>(b) Find the value of x.\u003Cbr>Give your answer to three significant figures.\u003Cbr>  cm\u003Cbr>(2)\u003Cbr>(Total for question 13 is 5 marks) | Leave\u003Cbr>blank |  |\n| --- | --- | --- |\n|  | |  |\n\n\n| 14 Shown is a cuboid.\u003Cbr>(x + 5) cm\u003Cbr>8x cm\u003Cbr>The surface area of the cuboid is 356cm2.\u003Cbr>(a) Show 160x2 + 160x − 356 = 0\u003Cbr>(3)\u003Cbr>(b) Find the value of x.\u003Cbr>Give your answer to 3 significant figures.\u003Cbr>  cm\u003Cbr>(2)\u003Cbr>(Total for question 14 is 5 marks) | Leave\u003Cbr>blank |  |\n| --- | --- | --- |\n|  | |  |\n\n\n| 15 Shown is a right angled triangle.\u003Cbr>\u003Cbr>(a) Show that 2y2 + 18y − 69 = 0\u003Cbr>(3)\u003Cbr>(b) Find the value of y.\u003Cbr>Give your answer to three significant figures\u003Cbr>(2)\u003Cbr>(Total for question 15 is 5 marks) | Leave\u003Cbr>blank |  |\n| --- | --- | --- |\n|  | |  |","cbCaip38FLWhLBcA","https://ap.wps.com/l/cbCaip38FLWhLBcA","pdf",4239897,1,12,"English","en",105,"# Quadratic Formula Questions\n## Solving quadratic equations\n## Specified answer formats and rounding\n## Area and geometry applications","[{\"question\":\"What are the required solution formats in this worksheet?\",\"answer\":\"Several questions require answers rounded to 2 decimal places or 1 decimal place, while others require exact answers or answers in the form a ± b√c. 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