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The test includes 24 questions, requires clear working, and allows calculator use.",{"@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-mathematics-unit-m4-higher-tier-assessment-with-calculator-paper/207148/",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-mathematics-unit-m4-higher-tier-assessment-with-calculator-paper/207148.png","ImageObject",300,407,{"name":42,"@type":43},"Bill Black","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-22","2026-09-05",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",17,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How many questions are in the Unit M4 assessment paper?","Question",{"text":63,"@type":64},"There are twenty-four questions. 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Do not write with a gel pen.\u003Cbr>Answer all twenty-four questions.\u003Cbr>All working should be clearly shown in the spaces provided. Marks may be awarded for partially correct solutions.\u003Cbr>You may use a calculator for this paper.\u003Cbr>\u003Cbr>INFORMATION FOR CANDIDATES\u003Cbr>The total mark for this paper is 100.\u003Cbr>Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question.\u003Cbr>You should have a calculator, ruler, compasses and a protractor.\u003Cbr>The Formula Sheet is on page 2. |  |  |  |  |\n| \u003Cbr>12371\u003Cbr>| |  |  |  |\n\n*32GMC4101*  \n*32GMC4101*  \n\n| | |  |  |  | |\n| --- | --- | --- | --- | --- | --- |\n| |  |  | |  |  |\n| |  | \u003Cbr>|  |  |  |\n|  |  | |  | |  |\n|  |  | \u003Cbr>|  |  |  |\n| 12371\u003Cbr>\u003Cbr>|  | |  |  |  |\n\n*32GMC4102*  \n*32GMC4102*  \n1 Solve 2(3x − 1) + 5 = 4(x + 2)  \nAnswer x =   [3]  \n[Turn over  \n12371  \n*32GMC4103*  \n*32GMC4103*  \n\n| | 2 Data on the weights of 16 players on a sports team is recorded in the grouped frequency table.\u003Cbr>Weight (W kg) Frequency 60 \u003C W ≤ 70 1 70 \u003C W ≤ 80 5 80 \u003C W ≤ 90 4 90 \u003C W ≤ 100 6 |  | |\n| --- | --- | --- | --- |\n| The manager states that “the estimated mean weight of the team lies within the median class”.\u003Cbr>Is his statement correct? You must justify your answer fully.\u003Cbr>[4] |  |  |  |\n| 12371\u003Cbr>\u003Cbr>|  | |  |\n\n*32GMC4104*  \n*32GMC4104*  \n| | 3 Which of these numbers is prime?\u003Cbr>Explain your reasoning clearly for each number below. | |\n| --- | --- | --- |\n| Number 11 111 1111 Yes/No Reason\u003Cbr>[2] |  |  |\n| [Turn over\u003Cbr>12371\u003Cbr>\u003Cbr>|  |  |\n\n*32GMC4105*  \n*32GMC4105*  \n4 A caravan depreciates in value by 15% each year.  \nTwo years ago Malcolm bought a new caravan costing £24 000 (a) What is its value now?  \nAnswer £   [2]  \n(b) Malcolm states his caravan has depreciated by 30% over the two years.  \nIs he correct?  \nExplain your answer clearly.  \n[3]  \n12371  \n*32GMC4106*  \n*32GMC4106*  \nBLANK PAGE  \nDO NOT WRITE ON THIS PAGE  \n(Questions continue overleaf)  \n[Turn over  \n12371  \n*32GMC4107*  \n*32GMC4107*  \n\n| | 5 Martine wants to hire a van.\u003Cbr>The table shows the costs for hiring the van.\u003Cbr>Distance (d miles) 50 100 150 200 250 Total cost (£ C) 50 60 70 80 90\u003Cbr>|  | \u003Cbr>250 | [2] | |\n| --- | --- | --- | --- | --- | --- |\n| 12371\u003Cbr>\u003Cbr>|  | |  |  |  |\n\n*32GMC4108*  \n*32GMC4108*  \n(b) Use the graph to find  \n(i) the initial fixed charge for hiring the van,  \nAnswer £ _____________ [ 1]  \n(ii) the cost per mile, in pence, for using the van. Answer _____________ p [ 1]  \n(c) Work out the total cost if the van travels 450 miles.  \nAnswer £   [2]  \n[Turn over  \n12371  \n*32GMC4109*  \n*32GMC4109*  \n6  \nA large circle has three semicircles of equal diameters placed across its diameter as shown.  \nThe radius of each of the small semicircles is 2 cm.  \nWork out the area shaded.  \nAnswer   cm2 [5]  \n12371  \n*32GMC4110*  \n*32GMC4110*","cbCaiihDtNyG69Dw","https://ap.wps.com/l/cbCaiihDtNyG69Dw","pdf",913913,32,"English","# Instructions to candidates\n## Assessment information\n# Questions\n## Algebra and equations\n## Statistics: grouped frequency and median class\n## Number theory: primes\n## Percentage depreciation\n## Graphs and cost modelling\n## Geometry: semicircles area","[{\"question\":\"How many questions are in the Unit M4 assessment paper?\",\"answer\":\"There are twenty-four questions. 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