[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-207150-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-207150-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","gcse-91-mathematics-j56005-paper-5-higher-tier-exam-questions","GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) - Exam Questions","","GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) is a timed assessment booklet for written problem solving across number, probability, ratio and direct/inverse proportionality, geometry construction, density and mass estimation, kinematics, vectors, and correlation from a scatter diagram. Instructions set the use of black ink, calculator prohibition, and requirement to show working where appropriate. Questions include table completion for differences between card values, journey timing under speed limits, best-fit estimation, and geometry region construction using ruler and compasses.",{"@graph":14,"@context":73},[15,34,56],{"@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/gcse-91-mathematics-j56005-paper-5-higher-tier-exam-questions/207150/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/gcse-91-mathematics-j56005-paper-5-higher-tier-exam-questions/207150.png","ImageObject",300,407,{"name":42,"@type":43},"Dozel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-20","2026-09-05",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",12,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What calculators are allowed for this GCSE Mathematics Paper 5 Higher Tier exam?","Question",{"text":63,"@type":64},"No calculator is allowed. 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Do not write in the barcodes. |  |  |  |\n| --- | --- | --- | --- |\n| Centre number |  | Candidate number |  |\n| First name(s)  \u003Cbr>Last name   |  |  |  |\n\nINSTRUCTIONS  \n• Use black ink. You can use an HB pencil, but only for graphs and diagrams.  \n• Write your answer to each question in the space provided. If you need extra space use the lined pages at the end of this booklet. The question numbers must be clearly shown.  \n• Answer all the questions.  \n• Where appropriate, your answer should be supported with working. Marks might be given for using a correct method, even if your answer is wrong.  \nINFORMATION  \n• The total mark for this paper is 100.  \n• The marks for each question are shown in brackets [ ] .  \n• This document has 20 pages.  \nADVICE  \n• Read each question carefully before you start your answer.  \n© OCR 2024 [601/4606/0] DC (PQ/FC) 340383/2  \nOCR is an exempt Charity  \nTurn over  \n2  \n1 Work out.  \n1.2 ' 0.03  \n........................................................... [2]  \n2 Kai has these four number cards.  \nKai takes two of the cards at random without replacement and finds the positive difference between the two numbers.  \n(a) Complete the table to show all of the possible differences.  \nSecond card  \nFirst card  \n\n| Difference | 0 | 2 | 5 | 9 |\n| --- | --- | --- | --- | --- |\n| 0 |  | 2 | 5 | 9 |\n| 2 | 2 |  | 3 |  |\n| 5 | 5 |  |  |  |\n| 9 | 9 |  |  |  |\n\n[2]  \n(b) Find the probability that Kai takes two cards with a difference that is an even number or a factor of 10.  \n(b) ........................................................... [2]  \n© OCR 2024  \n3  \n3 (a) Ryan makes a journey of 200 miles from his home to the coast.  \n110 of the journey is on roads with a speed limit of 40 miles per hour. 40% of the journey is on roads with a speed limit of 50 miles per hour.  \nThe remainder of the journey takes a time of 1 hour 30 minutes.  \nRyan leaves home at 08 50 and does not exceed the speed limits on the journey.  \nFind the earliest time that Ryan could arrive at the coast.  \nYou must show your working.  \n(a) ........................................................... [6]  \n(b) Write down an assumption you have made when working out the answer to part (a) .  \n.............................................................................................................................................. [1]  \n© OCR 2024 Turn over  \n4  \n4 The scatter diagram shows the test scores for 20 pupils in Science and Mathematics.  \n0 10 20 30 40 50 60  \nScience  \n(a) Describe the type of correlation shown in the scatter diagram.  \n(a) ........................................................... [1]  \n(b) One pupil took the Science test but was then ill during the Mathematics test and had to leave  \nearly.  \nOn the scatter diagram, circle the point that is most likely to represent this pupil. [1]  \n(c) By drawing a line of best fit, estimate the test score in Mathematics for a pupil who scored  \n28 in the Science test.  \n(c) ........................................................... [2]  \n(d) Explain why using the scatter diagram to estimate the test score in Mathematics for a pupil  \nwho scored 60 in Science may be unreliable.  \n.............................................................................................................................................. [1]  \n© OCR 2024  \n5  \n(e) Find the percentage of the 20 pupils who scored less than 30 marks in both Science and Mathematics.  \n(e) ...................................................... %[3]  \n5 Triangle ABC is drawn below.  \nA  \nB  \nUsing a ruler and compasses only, construct and shade ","cbCaieAhR5AHmsWY","https://ap.wps.com/l/cbCaieAhR5AHmsWY","pdf",3813050,"English","# Instructions and Information\n## Equipment restrictions and marking guidance\n# Questions\n## Number and probability\n## Journey and timing\n## Scatter diagrams and correlation\n## Geometry construction\n## Density, volume, and mass estimation\n## Mixtures and ratio scaling\n## Proportionality and percentage change\n## Kinematics\n## Geometry and perimeter constraints\n## Vectors","[{\"question\":\"What calculators are allowed for this GCSE Mathematics Paper 5 Higher Tier exam?\",\"answer\":\"No calculator is allowed. You may use geometrical instruments and tracing paper.\"},{\"question\":\"How should answers be recorded in the exam?\",\"answer\":\"Use black ink to write answers in the space provided. HB pencil is allowed only for graphs and diagrams, and all questions must be answered.\"},{\"question\":\"What is the total mark and duration for this paper?\",\"answer\":\"The total mark is 100, and the time allowed is 1 hour 30 minutes.\"}]","GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) - Exam Questions | PDF"]