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Learners must complete all questions within the provided answer boxes without using a calculator, following instructions on showing full working and drawing diagrams neatly. A formulae sheet is supplied covering spheres, cones, triangle geometry, sine/cosine rules, quadratic solutions, and trigonometric identities. The maximum mark is 70 with a total test time of 1 hour 30 minutes.",{"@graph":69,"@context":116},[70,84,99],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/further-mathematics-level-2-practice-paper-set-3-paper-1-non-calculator/207487/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":93,"encodingFormat":92,"isAccessibleForFree":94,"interactionStatistic":95},"DigitalDocument",{"name":87,"@type":88},"Mabel","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":96,"interactionType":97,"userInteractionCount":4},"InteractionCounter",{"@type":98},"ViewAction",{"@type":100,"mainEntity":101},"FAQPage",[102,108,112],{"name":103,"@type":104,"acceptedAnswer":105},"Is a calculator allowed for this paper?","Question",{"text":106,"@type":107},"No. The paper specifies non-calculator, so learners may not use a calculator.","Answer",{"name":109,"@type":104,"acceptedAnswer":110},"What is the maximum mark and time allowed?",{"text":111,"@type":107},"The maximum mark is 70 and the time allowed is 1 hour 30 minutes.",{"name":113,"@type":104,"acceptedAnswer":114},"What should learners do with rough work and diagrams?",{"text":115,"@type":107},"Rough work should be done in the book, and any work not to be marked should be crossed through. Diagrams should be drawn in pencil.","https://schema.org",{"og:url":83,"og:type":118,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":120,"canonical":83},"index,follow",{"doc_id":122,"site_id":62},207487,1788599755,{"code":4,"msg":5,"data":125},{"doc_id":122,"user_id":126,"nickname":87,"user_avatar":127,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":133,"language":134,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":135,"faqs":136,"seo_title":137,"seo_description":67,"update_tm":123,"read_time":36},7971474920318,"https://ap-avatar.wpscdn.com/avatar/74000ee537e6b0ca360?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788430171632181674","| Centre Number |  |  |  |  |  | Candidate Number |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Surname |  |  |  |  |  |  |  |  |  |  |\n| Other Names |  |  |  |  |  |  |  |  |  |  |\n| Candidate Signature |  |  |  |  |  |  |  |  |  |  |\n\nLevel 2 Certificate in Further Mathematics  \nFurther Mathematics Level 2  \nPractice Paper Set 3  \nPaper 1  \nNon-Calculator  \n8360/1  \n\n| For this paper you must have:\u003Cbr>􀁸 mathematical instruments. You may not use a calculator. |  | |\n| --- | --- | --- |\n\n\n| For Examiner’s Use |  |\n| --- | --- |\n| Examiner’s Initials |  |\n| Pages | Mark |\n| 3 |  |\n| 4-5 |  |\n| 6-7 |  |\n| 8-9 |  |\n| 10-11 |  |\n| 12-13 |  |\n| 14-15 |  |\n| TOTAL |  |\n\nTime allowed  \n1 hour 30 minutes  \nInstructions  \n􀁸 Use black ink or black ball-point pen. Draw diagrams in pencil.  \n􀁸 Fill in the boxes at the top of this page.  \n􀁸 Answer all questions.  \n􀁸 You must answer the questions in the space provided. Do not write outside the box around each page or on blank pages.  \n􀁸 Do all rough work in this book. Cross through any work that you do not want tobe marked.  \n􀁸 In all calculations, show clearly how you work out your answer.  \nInformation  \n􀁸 The marks for questions are shown in brackets.  \n􀁸 The maximum mark for this paper is 70.  \n􀁸 You may ask for more answer paper, graph paper and tracing paper.  \nThese must be tagged securely to this answer booklet.  \n8360/1  \nFormulae Sheet  \nVolume of sphere = 43 􀁓r3 Surface area of sphere = 4􀁓r2  \nVolume of cone = 13 􀁓r2 h  \nCurved surface area of cone = 􀁓rl  \nIn any triangle ABC  \nArea of triangle = 12 ab sin C Sine rule sianA = sibnB = sicnC Cosine rule a 2 = b 2 + c 2 – 2bc cos A  \nA  \nC  \nc  \nB  \ncos A = b 2 􀀎 c 2 􀀐 a 2  2bc  \nThe Quadratic Equation  \nThe solutions of ax2 + bx + c = 0, where a 􀁺 0, are given by x = _~~ ~~b~~ ~~􀁲~~ ~~(b22a~~ ~~_~~ ~~4ac)  \nTrigonometric Identities  \ntan 􀁔 􀁻 scoinsθ~~θ ~~ sin 2 􀁔 + cos 2 􀁔 􀁻 1  \n3  \n\n| Answer all questions in the spaces provided. |  |  |  |\n| --- | --- | --- | --- |\n| 1\u003Cbr>2 | Work out the exact value of w. |  |  |\n|  |  1\u003Cbr>2 | | Not drawn accurately |\n|  | .\u003Cbr>. . . . w =  \u003Cbr>5(3x 􀀐 2) 􀀐 3(x 􀀐 h) 􀁻 4(kx + 2)\u003Cbr>Work out the values of h and k. ............................. .... (4 marks)\u003Cbr>. . . . .\u003Cbr>h =   , k =   (4 marks) |  |  |\n\nDo not write outside the box  \n\n|  |\n| --- |\n| 8 |\n\nTurn over 􀁦  \n4  \n3 Solve ~~ ~~y~~ ~~~~ ~~2 + 2y4􀀎~~ ~~1 = 3  \n………….…………………………………………………………………………………….  \n………….…………………………………………………………………………………….  \n………….…………………………………………………………………………………….  \n………….…………………………………………………………………………………….  \n………….…………………………………………………………………………………….  \n………….…………………………………………………………………………………….  \ny = ..…. ....................................................... .... (4 marks)  \n4 O is the centre of this circle.  \nWork out the value of x.  \n…….………………………………………………………………………………………….  \n…….………………………………………………………………………………………….  \n…….………………………………………………………………………………………….  \n…….………………………………………………………………………………………….  \nx =   degrees (3 marks)  \nDo not write outside the box  \n5  \n5 Simplify fully 20a9b 6 ÷ 4a3b 2  \n….…………………………………………………………………………………………….  \n….…………………………………………………………………………………………….  \nAnswer ...….................................................................. (2 marks)  \n6 The matrix 􀂨􀂧􀂩 􀀐aa b2b􀂷􀂹􀂸 maps the point (5, 4) onto the point (1, 17) .  \nWork out the values of a and b.  \na =   , b =   (5 marks)  \nDo not write outside the box  \n\n|  |\n| --- |\n| 14 |\n\nTurn over 􀁦  \n6  \n7 f(x) is a quadratic function with domain all real values of x.  \nPart of the graph of y = f(x) is shown.  \ny   \nx  \nDo not write outside the box  \n7  \n7 (a) Write down the range of f(x) .  \nAnswer .... ... ... ........................................................... ........ ( 1 mark)  \n7 (b) Use the graph to find solutions of the equation f(x) = 1  \nGive your solutions to one decimal place.  \nAnswer ........................................................................... (2 marks)  \n7 (c) Use the graph to solve f(x) 􀀟 0  \nAns","cbCaij6oYfSKabh7","https://ap.wps.com/l/cbCaij6oYfSKabh7","pdf",134853,16,"English","# Instructions\n## Answering and formatting rules\n# Formulae sheet\n# Questions","[{\"question\":\"Is a calculator allowed for this paper?\",\"answer\":\"No. The paper specifies non-calculator, so learners may not use a calculator.\"},{\"question\":\"What is the maximum mark and time allowed?\",\"answer\":\"The maximum mark is 70 and the time allowed is 1 hour 30 minutes.\"},{\"question\":\"What should learners do with rough work and diagrams?\",\"answer\":\"Rough work should be done in the book, and any work not to be marked should be crossed through. Diagrams should be drawn in pencil.\"}]","Further Mathematics Level 2 - Practice Paper Set 3 - Paper 1 - Non-Calculator | PDF"]