[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-207083-105":3,"detail-sidebar-cat-0-en-105":74,"doc-detail-207083-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","january-2012-3h-paper-3","January 2012 3H Paper 3","","Solutions provided with a legal disclaimer for exam-style mathematics problems, including accuracy and method mark conventions. The content outlines how marks such as B, M, and A are awarded, with definitions for unconditional accuracy, method, and accuracy marks. It includes worked examples across multiple question types such as percentage change, geometry construction for a rhombus, algebraic factorising and expanding, set and statement writing, probability estimation from a spinner, and volume calculation for a cylinder, often referencing an exam reference code.",{"@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/january-2012-3h-paper-3/207083/",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},"Ezra","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 do B, M, and A marks represent in these solutions?","Question",{"text":56,"@type":57},"B indicates an unconditional accuracy mark where the specific number/word must be seen. M is a method mark for the approach used. A is an accuracy mark, typically awarded after method marks when the correct answer is reached.","Answer",{"name":59,"@type":54,"acceptedAnswer":60},"How are method marks treated if a student uses a different method?",{"text":61,"@type":57},"The same number of method marks would be awarded, but the solutions may not indicate which specific marks match the alternative method. Clarification may be sought via the relevant examiner mark scheme.",{"name":63,"@type":54,"acceptedAnswer":64},"Do the solutions claim there is only one method to solve each question?",{"text":65,"@type":57},"No. The solution states the shown method is not always the only method, and it may be updated to show different methods in future. Students are generally advised to keep using their existing correct method.","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},207083,1788597847,{"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 & 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verifythe accuracy of these solutions,these solutions are provided on an“as is”basis and We make no warranties of anykind,whether express or implied,in relation to these solutions.  \nWe make no warranty that these solutions will meet Your requirements or provide the results which You want,or thatthey are complete,or that they are error-free.If You find anything confusing within these solutions then it is Yourresponsibility to seek clarification from Your teacher,tutor or mentor.  \nWe request that You use the ‘contact'link on Our web site to inform Us of any errors or omissions that You find.Wewill update these solutions and correct errors that We become aware of.We recommend that You check Our web sitefor the most up-to-date version of these solutions.  \nThe methods used in these solutions,where relevant,are methods which have been successfully used with students.The method shown for a particular question is not always the only method and We do not claim that the method wehave used is necessarily the most efficient or'best'method.We will,from time to time,update a solution to show adifferent method if We feel that it is a good idea to do so.  \nSometimes a method used in these solutions might be unfamiliar to You.If You are able to use a different method toobtain the correct answer then We would usually recommend that You keep using your existing method and not changeto the method that We have used here.However,the choice of method is always up to You and We believe that it isoften useful if You know more than one method to solve a particular type of problem.  \nWithin these solutions We have indicated where marks might be awarded for each question.We have used B marks,Mmarks and A marks in a similar,but not identical,way that the exam board uses these marks within their markschemes.We have done this for simplicity and convenience.We have sometimes interchanged B marks,M marks and Amarks and We have sometimes awarded the marks in different ways to the exam board.  \nB1-This is an unconditional accuracy mark (the specific number,word or phrase must be seen.This type of markcannot be given as a result of ‘follow through’).  \nM1-This is a method mark.We have indicated where method marks might be awarded for the method that is shown.If You use a different method,then the same number of method marks would be awarded but We are not able toindicate for what the marks would be awarded for Your particular method.When appropriate,You should seek clarityand download the relevant examiner mark scheme from the exam board's web site  \nA1 -These are accuracy marks.Accuracy marks are typically awarded after method marks.If the correct answer isobtained,then You should normally (but not always)expect to be awarded all of the method marks(provided that Youhave shown Your method)and all of the accuracy marks.  \nwww.igexams.com  \nIn January 2007 the population of Canada was 32 million.7 million of these Canadian people spoke French as their first language.  \n(a)Express 7 million as a percentage of 32 million.Give your answer correct to I decimal place.  \nL00= 21.875  \n1  \n32  \n21.9%  \n(2)  \nBetween January 2007 and January 2009 the population of Canada increased by 4%.  \n(b)Increase 32 million by 4%.  \nGive your answer correct to the nearest million.  \n32 x 1-0433、2.8 mILLloN  \n(31  \nm  \nB  \n33  \n………million  \n(3)  \nRef:3H January 2012  \nwww.igexams.com  \nHere is a fair 5-sided spinner.  \nHans spins the spinner 30 times.  \nWork out an estimate for the number of times the spinner lands on Red.  \nRef:3H January 2012  \nwww.igexams.com  \n7.  \nDiagram NOT  \naccurately drawn  \nA cylinder has a diameter of 15 cm and a height of 26 cm.  \nWork out the volume of the cylinder:Give your answer correct to 3 significant figures.  \n45=、5子。 x752x26V=th  \n90  \nRef:3H January 2012  \nwww.igexams.com  \n# Question 4\n\nThe lengths of the sides of a rhombus","cbCaiikmJscU6H9W","https://ap.wps.com/l/cbCaiikmJscU6H9W","pdf",1446897,23,"English","# Disclaimer\n## Mark scheme conventions (B, M, A)\n# Worked examples\n## Percentages and population change\n## Geometry construction (rhombus)\n## Algebra (factorise, expand, solve for W)\n## Sets and statement writing\n## Discrete frequency table (text messages)\n## Probability estimation (spinner)\n## Volume of a cylinder","[{\"question\":\"What do B, M, and A marks represent in these solutions?\",\"answer\":\"B indicates an unconditional accuracy mark where the specific number/word must be seen. M is a method mark for the approach used. A is an accuracy mark, typically awarded after method marks when the correct answer is reached.\"},{\"question\":\"How are method marks treated if a student uses a different method?\",\"answer\":\"The same number of method marks would be awarded, but the solutions may not indicate which specific marks match the alternative method. Clarification may be sought via the relevant examiner mark scheme.\"},{\"question\":\"Do the solutions claim there is only one method to solve each question?\",\"answer\":\"No. The solution states the shown method is not always the only method, and it may be updated to show different methods in future. Students are generally advised to keep using their existing correct method.\"}]","January 2012 3H Paper 3 | PDF",58]