[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-207492-105":3,"detail-sidebar-cat-0-en-105":74,"doc-detail-207492-en":124},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":67,"head_meta":69,"extra_data":71,"updated_unix":73},105,"en","further-mathematics-level-2-practice-paper-set-1-paper-1-non-calculator","Further Mathematics Level 2 - Practice Paper Set 1 - Paper 1 - Non-Calculator","","Further Mathematics Level 2 Practice Paper Set 1, Paper 1 (Non-Calculator) provides a full 70-mark assessment over 1 hour 30 minutes. The paper includes question sets on integer constraints, quadratic and functional graph work, range determination, geometry involving triangles and trigonometry, and inequality shading on coordinate grids. It also tests trigonometric identities, solving for cosine values from given sine values, checking concurrency of straight lines, and circle-angle reasoning requiring proof.",{"@graph":14,"@context":66},[15,34,49],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/further-mathematics-level-2-practice-paper-set-1-paper-1-non-calculator/207492/",4,{"url":32,"name":10,"@type":35,"author":36,"headline":10,"publisher":39,"fileFormat":42,"inLanguage":8,"description":12,"dateModified":43,"datePublished":43,"encodingFormat":42,"isAccessibleForFree":44,"interactionStatistic":45},"DigitalDocument",{"name":37,"@type":38},"Jiven","Person",{"url":19,"name":40,"@type":41},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":46,"interactionType":47,"userInteractionCount":4},"InteractionCounter",{"@type":48},"ViewAction",{"@type":50,"mainEntity":51},"FAQPage",[52,58,62],{"name":53,"@type":54,"acceptedAnswer":55},"What is the time allowed and maximum marks for this paper?","Question",{"text":56,"@type":57},"The time allowed is 1 hour 30 minutes and the maximum mark is 70.","Answer",{"name":59,"@type":54,"acceptedAnswer":60},"Are calculators allowed on this paper?",{"text":61,"@type":57},"No. This is the Non-Calculator paper, so candidates may not use a calculator.",{"name":63,"@type":54,"acceptedAnswer":64},"What topics are covered in the questions?",{"text":65,"@type":57},"Questions cover number and integer conditions, quadratic equations and graphs, function range, geometry with trigonometry, inequality regions, trigonometric identities, cosine from sine, line concurrency, and circle-angle proofs.","https://schema.org",{"og:url":32,"og:type":68,"og:title":10,"og:site_name":40,"og:description":12},"article",{"robots":70,"canonical":32},"index,follow",{"doc_id":72,"site_id":7},207492,1788599769,{"code":4,"msg":75,"data":76},"success",[77,81,85,88,93,98,103,108,113,116,120],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":78,"show_sort_weight":79,"slug":80},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":82,"show_sort_weight":83,"slug":84},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":86,"slug":87},70,"exam",{"id":89,"doc_module":4,"doc_module_name":25,"category_name":90,"show_sort_weight":91,"slug":92},5,"Comic",60,"comic",{"id":94,"doc_module":4,"doc_module_name":25,"category_name":95,"show_sort_weight":96,"slug":97},6,"Technology",50,"technology",{"id":99,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},7,"Healthcare",40,"healthcare",{"id":104,"doc_module":4,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},8,"Research & Report",30,"research-report",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},9,"Religion & Spirituality",20,"religion-spirituality",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":114,"show_sort_weight":111,"slug":115},"World Cup","world-cup",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":118,"show_sort_weight":117,"slug":119},10,"Lifestyle","lifestyle",{"id":121,"doc_module":4,"doc_module_name":25,"category_name":122,"show_sort_weight":89,"slug":123},19,"General","general",{"code":4,"msg":75,"data":125},{"doc_id":72,"user_id":126,"nickname":37,"user_avatar":127,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":133,"language":134,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":135,"faqs":136,"seo_title":137,"seo_description":12,"update_tm":73,"read_time":101},1099513958607,"https://ap-avatar.wpscdn.com/avatar/100002390cf8733938c?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778829742770036399","| 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 1  \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  \ncos A = b 2 􀀎 c 2 􀀐 a 2  2bc  \nThe Quadratic Equation  \nA  \nC  \nc  \nB  \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  \nXXXX1  \n3  \n\n| Answer all questions in the spaces provided. |\n| --- |\n| 1 (a) x is an integer such that 6 􀀟 3x  20\u003Cbr>Write down all the possible values of x.\u003Cbr>….…………………………………………………………………………………………….\u003Cbr>….…………………………………………………………………………………………….\u003Cbr>….…………………………………………………………………………………………….\u003Cbr>Answer ........................................................................ (3 marks)\u003Cbr>1 (b) Given that 􀀐1 􀀟 n 􀀟 2 state a value of n for which\u003Cbr>1 (b) (i) n 2 􀀡 1\u003Cbr>Answer  ……. ......................................................... .... ( 1 mark)\u003Cbr>1 (b) (ii) ~~ ~~1n 􀀡 1\u003Cbr>Answer  ……. ......................................................... .... ( 1 mark)\u003Cbr>1 (b) (iii) 1 􀀐 n 􀀡 1\u003Cbr>….…………………………………………………………………………………………….\u003Cbr>Answer ….…….............................................................. ( 1 mark)\u003Cbr>Turn over for the next question |\n\nDo not write outside the box  \n\n|  |\n| --- |\n| 6 |\n\nTurn over 􀁦  \n4  \n2 (a) A function f(x) is defined as  \nf(x) = 3 0  x 􀀟 2  \n= x + 1 2  x 􀀟 4  \n= 9 􀀐 x 4  x  9  \nDraw the graph of y = f(x) on the grid below for values of x from 0 to 9 .  \n………….…………………………………………………………………………………….  \n………….…………………………………………………………………………………….  \ny  \n(3 marks)  \n2 (b) Write down the range of f(x) .  \nAnswer ........................ .. ............................................ . ( 1 mark)  \nTurn over  \nDo not write outside the box  \n5  \n3 The diagram shows a tree of height 18 metres and a mast on level ground.  \nMast  \nLevel ground  \n  30 m    \n  65 m    \nThe mast is about to fall over, pivoting about its base.  \nCould it hit the tree?  \nShow clearly how you decide.  \n..................................…………...….…….....…………………………………………….…..  \n..................................…………...….…….....…………………………………………….…..  \n............ ......................…………...….…….....…………………………………………….…..  \n..................................…………...….…….....…………………………………………….…..  \n..................................…………...….…….....…………………………………………….…..  \n..................................…………...….…….....…………………………………………….…..  \n.","cbCairvN3IDBBajY","https://ap.wps.com/l/cbCairvN3IDBBajY","pdf",168556,16,"English","# Further Mathematics Level 2 Practice Paper Set 1\n## Paper 1 - Non-Calculator","[{\"question\":\"What is the time allowed and maximum marks for this paper?\",\"answer\":\"The time allowed is 1 hour 30 minutes and the maximum mark is 70.\"},{\"question\":\"Are calculators allowed on this paper?\",\"answer\":\"No. This is the Non-Calculator paper, so candidates may not use a calculator.\"},{\"question\":\"What topics are covered in the questions?\",\"answer\":\"Questions cover number and integer conditions, quadratic equations and graphs, function range, geometry with trigonometry, inequality regions, trigonometric identities, cosine from sine, line concurrency, and circle-angle proofs.\"}]","Further Mathematics Level 2 - Practice Paper Set 1 - Paper 1 - Non-Calculator | PDF"]