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It specifies writing practices (black ink, pencil for diagrams), where answers must be recorded, and how to use extra lined pages and rough work within the book. The paper contains multiple worked-question tasks covering algebraic factorisation, matrices, linear algebra equations, inequalities, proof by parity, sequence formulae, curve gradients, and coordinate geometry, with a total mark of 80.",{"@graph":69,"@context":117},[70,84,100],{"@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/level-2-certificate-further-mathematics-paper-2-calculator-exam-instructions-and-questions/207517/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":94,"encodingFormat":92,"isAccessibleForFree":95,"interactionStatistic":96},"DigitalDocument",{"name":87,"@type":88},"Miles","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-09-06","2026-09-05",true,{"@type":97,"interactionType":98,"userInteractionCount":8},"InteractionCounter",{"@type":99},"ViewAction",{"@type":101,"mainEntity":102},"FAQPage",[103,109,113],{"name":104,"@type":105,"acceptedAnswer":106},"What equipment is required for this paper?","Question",{"text":107,"@type":108},"A calculator, mathematical instruments, and the Formulae Sheet (enclosed) are required.","Answer",{"name":110,"@type":105,"acceptedAnswer":111},"How must answers be presented?",{"text":112,"@type":108},"Use black ink or black ball-point pen, draw diagrams in pencil, and write answers only in the spaces provided. Show calculations clearly and do rough work in the book.",{"name":114,"@type":105,"acceptedAnswer":115},"What topics are covered in the questions?",{"text":116,"@type":108},"The questions cover areas such as factorisation and algebra, matrices, solving equations and inequalities, algebraic proofs, sequences, number construction, graphs, trigonometry, and gradients of curves.","https://schema.org",{"og:url":83,"og:type":119,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":121,"canonical":83},"index,follow",{"doc_id":123,"site_id":62},207517,1788599873,{"code":4,"msg":5,"data":126},{"doc_id":123,"user_id":127,"nickname":87,"user_avatar":128,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":129,"file_id":130,"file_url":131,"file_type":132,"file_size":133,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":134,"language":135,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":136,"faqs":137,"seo_title":138,"seo_description":67,"update_tm":124,"read_time":26},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","| Please write clearly in block capitals. |  |  |  |\n| --- | --- | --- | --- |\n| Centre number |  | Candidate number |  |\n| Surname  \u003Cbr>Forename(s)  \u003Cbr>Candidate signature  \u003Cbr>I declare this is my own work. |  |  |  |\n\nLevel 2 Certificate  \nFURTHER MATHEMATICS  \nPaper 2 Calculator  \nTime allowed: 1 hour 45 minutes  \nMaterials  \nFor this paper you must have:  \n• a calculator  \n• mathematical instruments  \n• the Formulae Sheet (enclosed) .  \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 spaces provided. Do not write outside the box around each page or on blank pages.  \n• If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s) .  \n• Do all rough work in this book. Cross through any work you do not want to be 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 80.  \n• You may ask for more graph paper and tracing paper. These must be tagged securely to this answer book.  \n• The use of a calculator is expected but calculators with a facility for symbolic algebra must not be used.  \n\n| For Examiner’s Use |  |\n| --- | --- |\n| Pages | Mark |\n| 2–3 |  |\n| 4–5 |  |\n| 6–7 |  |\n| 8–9 |  |\n| 10–11 |  |\n| 12–13 |  |\n| 14–15 |  |\n| 16–17 |  |\n| 18–19 |  |\n| 20 | |\n| TOTAL |  |\n\n\n| Answer all questions in the spaces provided. |\n| --- |\n| 1 Factorise fully 12w + 18w2\u003Cbr>[2 marks]\u003Cbr>\u003Cbr>Answer  \u003Cbr>2 M is the midpoint of PQ.\u003Cbr>\u003Cbr>Work out the value of a.\u003Cbr>[2 marks]\u003Cbr>\u003Cbr>Answer   |\n\noutside the box  \n􀂧 4 2􀂷 􀂧 2 0 􀂷  \n3 (a) Work out 3 􀂩􀂨 1 0 􀂹􀂸 􀂨􀂩−1 5􀂹􀂸  \nGive your answer as a single matrix.  \n[3 marks]  \nAnswer    \n3 (b) 􀂨􀂧􀂩7b  25􀂷􀂹􀂸 􀂧􀂩􀂨 2a􀂷􀂹􀂸 = 􀂨􀂧􀂩7182􀂷􀂹􀂸  \nWork out the values of a and b.  \n[3 marks]  \na =   b =    \noutside the box  \n\n|  |\n| --- |\n| 10 |\n\n4 Line A has equation y + 4x = 6  \nLine B is parallel to line A and passes through the point (2, 1)  \nThe point (d, 2d) lies on line B.  \nWork out the value of d.  \n[4 marks]  \nAnswer    \n5 Work out all the negative integer values of x for which 3x2 \u003C 48  \n[3 marks]  \nAnswer    \nbox  \n6 Prove algebraically that when n is an integer  \n(2n +1)2 − (2n −1)2  is always even.  \n4  \n[3 marks]  \n7 How many integers between 200 000 and 400 000 can be formed using only the digits  \n1 2 3 5 8 9  \nwith no repetition of any digit?  \n[2 marks]  \nAnswer    \nbox  \n\n|  |\n| --- |\n| 12 |\n\n8 A curve has equation y = x3 – 5x2  \nAt two points on the curve, the rate of change of y with respect to x is 4  \n8 (a) Work out an equation, in terms of x, to represent this information.  \nGive your answer in the form ax2 + bx + c = 0 where a, b and c are integers.  \n[2 marks]  \nAnswer    \n8 (b) Hence, work out the two possible values of x.  \nGive your answers to 3 significant figures.  \n[2 marks]  \nAnswer    \nbox  \n9 The first three terms of a linear sequence are  \n30 30 + 4k 30 + 8k  \nwhere k is a constant.  \n9 (a) Work out an expression, in terms of k, for the 4th term.  \nGive your answer in its simplest form.  \n[1 mark]  \nAnswer    \n9 (b) The 100th term of the sequence is 525  \nWork out the value of k.  \n[3 marks]  \nAnswer    \nbox  \n\n|  |\n| --- |\n| 8 |\n\n10 Here are four sketch graphs.  \nCircle the letter of the sketch graph that represents y = 3 × 2x  \n[1 mark]  \nbox  \n11 Here is a right-angled triangle.  \nYou are given that a > 5  \nUse trigonometry to work out the range of values of x.  \n[2 marks]  \nAnswer    \nTurn over for the next question  \nbox  \n\n|  |\n| --- |\n| 3 |\n\n12 Work out the gradient of the curve y = 12x3~~ ~~xx~~ ~~+~~ ~~3  \nat the point where x = –1  \nYou must show your working.  \n[5 marks]  \nAnswer    \noutside the box","cbCaidPsGirC4XOr","https://ap.wps.com/l/cbCaidPsGirC4XOr","pdf",384284,24,"English","# Instructions\n## Candidate requirements\n## Answering guidance and marking\n# Questions\n## Algebra and factorisation\n## Matrices and equations\n## Inequalities and integers\n## Algebraic proof\n## Sequences and number construction\n## Graphs and trigonometry\n## Gradient and curve methods","[{\"question\":\"What equipment is required for this paper?\",\"answer\":\"A calculator, mathematical instruments, and the Formulae Sheet (enclosed) are required.\"},{\"question\":\"How must answers be presented?\",\"answer\":\"Use black ink or black ball-point pen, draw diagrams in pencil, and write answers only in the spaces provided. Show calculations clearly and do rough work in the book.\"},{\"question\":\"What topics are covered in the questions?\",\"answer\":\"The questions cover areas such as factorisation and algebra, matrices, solving equations and inequalities, algebraic proofs, sequences, number construction, graphs, trigonometry, and gradients of curves.\"}]","Level 2 Certificate - Further Mathematics Paper 2 (Calculator) - Exam Instructions and Questions | PDF"]